{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spatial Data Science 5: Discovering Clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\"Clusters\" are a common concern for spatial analysis. We saw one way to detect spatial clusters/outliers in the third notebook, `sds3-esda.ipynb`, but here we'll show a few other strategies that can be used on point and lattice data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/pranjal/anaconda3/envs/scipygeo18/lib/python3.6/site-packages/libpysal/io/iohandlers/__init__.py:25: UserWarning: SQLAlchemy and Geomet not installed, database I/O disabled\n",
      "  warnings.warn('SQLAlchemy and Geomet not installed, database I/O disabled')\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import libpysal as lp\n",
    "import geopandas as gpd\n",
    "import pandas as pd\n",
    "import shapely.geometry as shp\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn.metrics as skm\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Point Clustering\n",
    "First, we'll work with the point data to find regions where airbnbs colocate. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "listings = pd.read_csv('./data/berlin-listings.csv.gz')\n",
    "listings['geometry'] = listings[['longitude','latitude']].apply(shp.Point, axis=1)\n",
    "listings = gpd.GeoDataFrame(listings)\n",
    "listings.crs = {'init':'epsg:4269'}\n",
    "listings = listings.to_crs(epsg=3857)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f27396a2a20>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "listings.sort_values('price').plot('price', cmap='plasma')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we'll need the `scikit-learn` cluster module, which has quite a few tools that can be used to identify these clusters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn.cluster as skc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we're interested in the locations and `sklearn` isn't conversant in geodataframes, we'll need to get the point array from the geodataframe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "coordinates = listings['geometry'].apply(lambda p: np.hstack(p.xy)).values\n",
    "coordinates = np.vstack(coordinates)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Like other scikit estimators, they are split into an initialization/configuration call and a fit call.\n",
    "\n",
    "Here, we'll use a local density-based scan clusterer, called DBSCAN. It works by fitting clusters of nearby points using the `eps` distance, which is the furthest distance at which points are considered to be in each other's clusters, kind of like the distance-band weight we talked about in `sds1-geography_as_feature.ipynb`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "clusterer = skc.DBSCAN(eps=1000).fit(coordinates)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, `clusterer` contains all of the observations found to be components of clusters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1491246.09061424, 6906289.70571696],\n",
       "       [1491523.30240249, 6905027.62126593],\n",
       "       [1491598.86544802, 6907372.95269835],\n",
       "       ...,\n",
       "       [1484839.95240175, 6903009.17746024],\n",
       "       [1486389.18508418, 6903758.10755677],\n",
       "       [1486722.30038881, 6904230.45890805]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clusterer.components_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It also contains the indices of the observations found to be \"cores\" of the clusters detected:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([    0,     1,     2, ..., 20047, 20048, 20049])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clusterer.core_sample_indices_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As well as their labels, which are the quantity of interest here, the main thing we wanted to detect:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  0,  0, ...,  6, -1, -1])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clusterer.labels_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In addition, the number of discovered clusters is contained in the `p` attribute. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "nclusters = clusterer.p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To map the clusters, we need to assign them back to the dataframe and plot them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f2734ad90b8>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Pq59etyK1i8K/0sCbp0AJngTFpm5efhyRW9wc64e/31gTp09wJsEV39oVb6s6IrJQKdWztONjmg5MTbU/8FcApZQH8IhIe2CG2W0aMBV4TCmVA8wUkTZh8zQC0pRSs83XnwDDgMnAUOAMs+sY4DfgAbP9E6V/DeaYmnUjs+80pdRBc65pwDlANU1VEkR6U+gTudzspl/gt8fh4ProtaiytpdO0P7+LOQd0glTgnEEwPBiKWjzfLDpxACHUz10m+mkg9+gaR+h38PalAHQ46TPYKlVtUgFW0ufV9HrV2yOU8gC+BPhmwdz6fyrixZLnBQkK7b09tH/qwTTjqylqrtAaLnERdOVTradGPRhKGiz0HlESPvyYOp90ObPUr8Fm2pAPDczrYB9wGgRWSwiH5ha6wqgcA/1MqBppAlMTgC2B73ebrYBNFBK7QIw/9YPGrPNYkyk9hBE5FYRWSAiC/bt2xdjeVWfVd/C5xfC1pk6OCAa6S1LNnfBYXi/ly5RHi5kAZRA6sHoBsgDzQL8fJWHxl/4GfpRkZAl4IflP0Qe6LYOPcvPhEl3wYt19OPHv0H+obB1RV2RNZ4kWHy2lzV9vKQcEvp+70b5LbwICqD1giBdRYErF85/M7QY24HVpViETbUins0wJ9ADGKGUmisirwMPAjcCb4jI/wETgShb4oCVv0vs70GkMXHNpZR6D3gPtOkgxrmqNErBlHvAlxu7b4uB4C5BYUalYFR3OBSlFpjhh4Lk+D7ij+d6ubjlAcjYBmkNYeOc6G5rXS7g8A6Y8xpsn6VLw/S+R/vaHlhb5Iyx+EPt9fDX6bB0jPbDrdtB6NXdwdwD/viFbgCGvZREva0GgqCwvlADDi2UC2k7x8FZH6fgCBPKySXYeLSpnsQjaLcD25VSc83XE4AHlVKPAUMARKQdEGuLZTsQnI6kCbDTfL5HRBoppXaZpoG9QWOaWozZTpGpobD9tzjeS7XFlwdZOyIfFyeg4ITeMDxCWZVI7FpUFNkVcX6ERuscrK/lj3GfpLghZxRq3CxEBaKnuwJwJXMg8Xw+6AyeXAh4dEjwss/05lKwx5vfo03XI9vq5748WO+Gdg0SWPtYHjkBRUGM0wE0X+44ImSjkeAW3nzKxaI0A6Wgzk4ncwMGwT8ZrmTo+1Dsc9pUb2IKWqXUbhHZJiLtlVJrgDOBlSJSXym1V0QM4FFgVIx5dolIloicCswFrgNGmocnAtcDz5t/vwtqv0tExqM3wzLNeaYC/y70TkAL/OP6cnYm6i91eL0ugLSmMHS09qOt3ab48VgcWENc9+An/+BCFKw71W99zwEMcC7inIQ5SMDC/mCF38svD/nJzzSOrEEFIucWsAqqSNpmcNPIZBp/6WPUEg8bMxXeKAK33VxnVCErhg60O3cktO7ioDW6VIT6BzjzdCBGwK/7nP4v6P33+N6qTfUlXj/aEcBY0+NgI3ADcJ2I3Gke/wYYXdhZRDYDaYBbRIYBQ5RSK4E7gI+BJPQm2GRzyPPAlyJyE7AVbfMF7ZlwHrAeyDXPi1LqoIg8Dcw3+z1VuDF2vCIGnHoPzH7FjL83caXAgP+DVmeWfu76nYmY8NuRqAMOtHIq3NLSySNOP94IfqrP1niXJIllZQpCQcH6NaA6l2bpAAQMyFgl1LjBxTfjnbywuYBPVkYW9PnJCoWKKGyV0ukjTrw8tF0EBjwGfR+AnH3aV9nOPWsDcQpapdQStCtVMK+bD6v+LSK0L0C7fYW3H0BryuHtCrgzvN089hHwUbR1H28MeFzfLs97S3/pxQH9H4HuN5Vt3gZdoGFXLAMPzn8Hulyl3b6S64IrWXj6FSIK2hpSsoSsSvnwe0sXV6OAvDQImGaTtWvhjV5CytfRTQLLz/TScVaUDF5KByGsGAcn31r8sMMNacW2Zm2OZ2wX6mqE4YDBL8G/DsDfVsK/9sPpD5QuGik7V7F4dYAtO7Uae+Ms6HiJFt6g86pe9CF0/6sWLOnN9QbbwVzIjpIyMCOQGjU5djgBn8GWtdbpswrXEo4CfE7ITTWFrKCvdIFsH3h+M0iKUhjyUCPF/GEFRLOXeHNg36o434TNcY8dglvNUErnIUhvXrrxk2f6GTkuQF5Q7oGkBKiZCt3OE25+x0HjepEld5KLqHXFslUyDSViXEkISsGS2YNQfmupaDih7kmwaxl4E7RQVQoCwbfrFkuVkU4cd3sgTYHF1AkOaHqH4v4Phan3wIrxxZ0i3DV0qR4bm3iwNdpqwvop8FYneMoBL9WH2a9GL6tixX9/8fPKmFAhC5BXALv3w/9mK255wseOPQq/B/Iyip8j2S30jeKj66vfgYg7ZUEEApB9OJ2fJ15redyVDH3+Caf8A3LTwZukgyUChRV8Cx/h4/LBsU8Y9kISrZY6MLwgPjAUpLi0kB3Q1MGrAxNJrq2r+jboAo6EojkMp873cOJlxee3sbEirhDc6kC1CcG1YPN0GHuuts8W4krWO94DHo9vjkBAMeweH1lWwVlBOBT02+jAOdcgENCFG857C9pfWNQnu0Bx/qh89oZFpp2ab3Da7P1cf8E/SEgokua+QAKOjv1QzU9h79jvcPgOs3ZFT2ZN+wu52TUJx3DqxOCn3A4v9YG9a4hHdgOQfFAL1WLvv6biL6sDNEoVGqSE6h8FWfDzw7D8M+1N0GGYNtGUoWiFTRWjrCG4tqCtBnw8QNesCsddA+7fD86E4sfCyc5VDP27j0CMy6HDdIP6WwwMX5FkcyXr2mBN+8C6yfDH85C1E+gaYFFfD44GQqfFTnZ9pA2ljRttZOh5H9CsyVryC5KZOed86Hopq0c7yIzhrwtguHTC7VotYd0K67DfiGM9ZsRLAJxecPrACGh770OH467KbnOcUeG5DmwqP/sjhHgGApC7D9KaWB8PJjkRDENrbJFw5kO9zQZGWOSTNxe+vhp63AIzny1yLzM2G3T4JZGrf4bXRxT137mrFe98+O+QORzTICnOUmgBL+Ts1o9EwJOsTQdxjTWdCRTgSdDhjK48aNysSMgqBTvmwtofoUZ9OPkOcNjfFJsyYF8+1YC6HSHHIpOgYUBK/eLtVhiGcFpX+H2h1vYQUOYdtMMLDdca1Nkm+pgFmZvh10dC2wI+HUDxaRxVBRwWib/jQQB3LngTic98YNHHmwTtrtbPC3M6HFhTdHzy3+GsF+H0+0u3RhsbW9BWAwY+DWPPCQtUSIY+98fvMB8IKNILDFL3F9kOAg7wJCp6TnTiLMCM4S+ZqSngg/xdQIxMYcoM/PK7wWuu2VWghbwA9bvojGN5EcJSDL/pylUaBKa9Dk16w+qxoUK2kJ/+BS0H6nLplRVPDmyYqgtcth6sN+xsKge210E1oHk/uOK/UK+zjhBLaQCD/g39H4tvfFaWn+uuDTD9N52zoPCf4YekLIO8VBWUKKXkTrkqjqvMmwh5qZBfA/wJ+pGfCgUp2iZ7zRQ4oVfZzhGL0VfDgq8i/5RM+1fZz1FRrJ8KLzeA//4Vvr8FXj0BFo+OOczmKGFrtNWE1oPhb8vj75+ZqfjpJ8Xq1Yr586xdwQQBAzb1UDT5M0C9rdGlWUC0wPS7dNpEALcCXzyy2aE16LAF4EsAf2N4/Wxo3g0cyeAP0twNl7azloegRen1uyMErx3ebt1e6tMpOLS57JFk+Yfgy4tD72gAJt2pf4RLk9/CpnyxBe1xyMYNikceCeD1gjeOorrKCTs6KepsU5b1tEDnE8hLLxKwhcksPYZZwiXOHDLFEMgxzQXLdoKkgCSCMwDuAkhpDIfLM8uFRM7D2bIM+SLC2TYbvrkKsvcAStvZL/sKarcu+Vyrv7MukxPw6QrDZ8Tp4mdTcdimg+OQ114LkJsbn5BFAQGosxV2tlNk1g1VfX1OyKmpgwZCZLD5XAWiezKUFBXQmrPHAXk10Qkyy/MqFv0+whV8ww2DXyifU2Tvgc+GaG3Wlwe+fNizFEb30/bVkuLNtf6MCzcjbY49tqCtJvg9MO9tGD9M75JHcvnKylLsiJK3thiivRDcedBovVAjA2ihqNsJfC7IT9Mab1TTbQW5avu9sGtFOU+qtAD3uYqWXbst3L1R53coD5aOKSpDfuS0AV16aP2Uks/X5hwsP2NXMrQfWqol2pQztumgGrB/Nbx3CniDIrHmvwVnPAn9Hw3t63CUPDRXOfXGVOGGmNqruOMwPN0ZXeQoDkRKft6jitLBDInZ+jfD69a2ZlcABj1bRhtqJkz5OywfrxOXR8KbC/+9XttU+z4IHS+Ob/5aLXXyoFkvgTdPvxdXih7frG/p121TftiCthrw+QWhQha0hjT9KZ1xq17HovbkZKFzZ1i+XAc0xIPhg+TMIpVVeWDnAsguQRm2Oq1h//r4+x8LEnKKbvFcpkBUhG4mBfy6AGbWTmh6GtRpF33OrF26LHt+HHl0lF/32zkfvr0ODm6I33f3jCeg9dlaW/Z7oPNwaDW4dJnbbMofW9BWMVQANkyDfSt1me5arXX5FisCXlj1NdQL02rvudfg4YcCHDqkhW0gAElJkJ4Oe/ZCQXDwQEAL2trbi76xhgGHSrgDX9mFLKClrGnrLHy3zkTI3AKNukPGJhhzhk6mg9JCt9OlMOxj680ogF8eiU/IhuPNgelPQK874w8LbnqafgTjyYG13+s1tzoL6lhnnLSpYGxBW4XIy9AbJplbtNbiSIDkOtHHWAmA2rWFt98xWLYM9u5VtG4ttG6tRUt+vuLVVwLMn6/tiDX3QNMVRkjBwYQUSI1V87gKEjDAEbappALaRgvw1aXaxSu4zNmyz2H+t+CoC6f+Fc5+CJxBQSJrv499XjGsS6cZTl18smE363G7l+pQ4bQm0HqI7h/M9jnw2TnmBqJpE+5xC5zzmq3pHm1sQVsFyNkHe5fDnNdh/1pQ5s6036NtckaEJNaGU2tclscMoVs3CN/FSkwUHn5ET+j3KUb2hQwfKBQ4weWC4d8KjbtEFhBVFW8CuMJ2/et3gfon6ruGfSst3q9f1wnLy4KZ78PBLXBtUN0PVwqwv3Tr8XmgRqPi7QEffHkpbJymX4sDEmvCDb9DeouiPuMuhILM0LGLP9RCuV2sUqo25YrtdVDJUEo7oPu9Zgnxu+HVJvDJWbB2YpGQPdLfp79URniorcAZT+lb340/w+GSeBqYOJzC3bOFG38RBj4pnP+6cO82ocUAcCXCBU+V+m1WPsQ6YOLwVvjxLn03EX53oNCbZvlm6XZfPqycCgeCTDktzoh9amdi8VBpw+2lxYB9pNQv7rc1d6QWst5c/fBkaZvxV0E1zLbN0uV2wvHmwKIPYq/JpnyxNdpyJGuXvq2v0x6SasXuH86a72HyXXB4p9ZGm/SG7XOj71QXcs9mmPsGbJ2pnd77/BN+fRxmPKVNDL586HQZDP1IF1OMFxEdXdS8X/Fj/W+Hem3go+Hxz1epCVc7lE7Ws+AtbSLwB2mzAbQbmAoTzr4C+M8AOP//oNtQWP557NO60/I4/f6dzH87haydtVB+g2b9VtL/sW/I2NCM2m1Ci74tfK94FJgKwJ5lkL0bajTUdzuRzAP+UibwsSk9tqAtB3z58M01sPYHrZ34CuCUO2DIK/HbwrbNgglXFCXv9vtgy/TY48TQfpSpjeCs54raJ/8d1k/Wa/OZX6xVX0OtVjDwyZK9v2h0PAvO+Dv8NpIK85c9agj4HdpOGx4dlpWrqzck5msTgyelaEw4BVnw/eOw4/fiJXBCUZx8+xS6XT8dh9tP8wH6Awz4BIdLmXOtx5u7E1dy4yOjIpVaF6NIi216urVZx5UCJ10TbU02FYFtOigHJt8N637UX4CCTK0xLHxX+7LGy4xnQyskxIszUe8m+4K0FKX07WH4fL68kq0pXs57DC57DdKbFN+QqWr43KZJIEEHLRTiTdaZxXLSTSEboVTOkf65sPLb6Ofq8JdFdL12Bg63D1C6crFwRMgWzbUt5PWJV4SW1ikktRHUbKafu5Jg2CfgTCoyS7hrQLN+0PmK6OuyKX+q+Nfi2OP3wLJPQgUd6C/a7Feh113xzXNwbenO783VZVZmvwq3zNO3jSpQfD2FVERIpgj0ulo/AJb/CD8+AQfiqJZQ2fAbZgaxQpug8JCHAAAgAElEQVSpKsrPC1gWc4xEgQ8iZal0JED/R38Dosfcihg43KF2qL4PwprvIHOb6T9tZq/MPQgzn4Mmp8FS85o85zVtv807CG3P18mHIrmi2VQc9kdeQvIOwp9fwZqJesffmxc5lj/vQPzzNo6SAjAWvjw4vA1+uEO/Nhza79OKpqeX/jzxctL58OB86HdHxZ+rXBEIJOoUjUcEq2GGGEOJTSM1O0c+1uEvYDizI3c4siYn7tTQ9FuJNeG2xTDgMRBn0boKDsFvj+s8CkvHwJ/jYep9sGc5nPM6tDnbFrLHCvtjLwGL3td5PifeBN9cq/N/7loUoVSM6Nu0eBnwWOQvgSMRHHGUalk7sej5+e9oe5yYQsJwgTtVf+GOFs2qejnu8CQ5JfQ9zT0IZ1kkonHXhPPfBndq7OgBFSjAl188BM+ZAHtXUEz4B0wvlMJ2r5kMfNMvJVu7TfliC9o42bdK22J9+fr223NY/x1/kb49cyYXCUrDqe1hg1+Mf/66HaC/RTo7ZxKc+zo8mguPeuDh3OJ9ClGBogoEJ/SC25dAj5v1rWTP2+GO5dDgpPjXVFY6nxd/hYfqSM4BWDEbTn0aWpylfXLPeAL+sV17paQ2PtvCLy8MFSB3/xzLQ7sW6bDdWHhzYM1/S75+m/IjLkErIukiMkFEVovIKhE5TUS6ishsEVkuIt+LSFpQ/4dEZL2IrBGRs4PazzHb1ovIg0HtLUVkroisE5EvRMRttieYr9ebx1vEOkdFsXRMhBR2os0HN87UwQENukK3G2HYGB25s29lfPPn7IU5rxRvT64D3W+G5ePgoz46bl4i2AnFYSYVMandBi54B26aBee+AenNi45l+QJM3edhVoaXQAVle3EmwJVvV8jUVYb1v8PPb8CKxbD1AGT69N0FgDOhDknpXWPMECDgszYx1D8pPlOA4bTePLM5esS7GfY6MEUpdakpBJOBacA/lVLTReRG4H7gMRHpBAwHTgQaAz+JSGHqjbeAwcB2YL6ITFRKrQReAP6jlBovIqOAm4B3zL8ZSqk2IjLc7HdFpHMoFc/ve+nYv0YHB4Sj/Dq9XaPucOkXWqP8ZDAsH4u2+fm0V8AVXxdpd948WPmV1kiyd+uCgLn7rTew8g/pjE6rv9WaCRDx5zGtKaQ2tj4WzHtb87hnZQ5OAa+CZIcwtVcaPWuWwME2TroOgx8eh0OlCJioLhS6Wfny4fd3YMWPcNckSGsIjoQ6+hcy0qVruEms2cnyUL+HtLko3Kc2nIBPRxVunKY9ERrGku025U7M30NTU+0PfAiglPIopQ4B7YEZZrdpwCXm86HAeKVUgVJqE7Ae6GU+1iulNiqlPMB4YKiICDAImGCOHwMMC5prjPl8AnCm2T/SOSoEvyfyrZevQG8yFPL9rdpx3Jujd4T9+bDuB/jC/HSydsKb7eCH22Du6/DnF9rfded8fZ5CUlP3c2qfCZx++hgOzVyJM5BJp87TaddhFg7DOoKhVkvI2AgLRul6UQc3mrH5QQrrokwf967MIS8AWX7ID8BBr6LXH5n8eiCOyIhScPOXFTJtlSVjK7w6APIyIblOTySiWurEldiAxFpdLI826AJXT9Z/EW2D73ylzpvrTiPEpqx8+rr8uL/+Ubdi91IdDLFuUvF8uTZlIx6NthU66+hoEekKLATuBlYAFwHfAZcBhWlGTgCCjUrbzTaAbWHtvYE6wCGljuiLwf1PKByjlPKJSKbZP9o5yp25I6MclKLNMF++TiJipfmu+wGer6XturH07vYdZ3LJZc8jEsBw+Ohz2ngMw4/Hk0Dhb+O4z55m6+bQL+CW3+GtDvp58BcluT5c/Jl27XlnSx75Fo7sCrhw/mEODK5DgqN8M440aA/JdSN/wY9Hcg7CzA9g8D/SSW95PYc2jwUVoPCmzJnYgOS6vUmu0wuJZCsCmveH25dqzxcxtKudrwBmvQy/P1P8LsnvgSUf68jBQqxyJ7iSYMDj0O5CqFkNEwgdbeKx0TqBHsA7SqnuQA7wIHAjcKeILARS0TXywHpvNlIZpmjtpZkrBBG5VUQWiMiCfftKkDw1jO3WexH6pEFCy++NnmSl4FBsIety5XHxpS/gchfgdHkxDIXT6cMwFImJ+SQm5pKYmMtV1zyK0xX6LSrMexCujeTu1Zt2+1fDfq8i0hK9CiburRitdkglriBbHjgT4LSboNXpOogkJgpmva+fJtbsQIMuT1C77a3UbX8XDbv9m3od7yWlXh8kzggQw1EUhehMgJR61vZbX77OCBbM3JE69WZw7oScvTB5hL77mjSikidtrwLEI2i3A9uVUnPN1xOAHkqp1UqpIUqpk4FxwIag/sG/gU2AnVHa9wPpIoWOSEfaQ+Yyj9cEDkaZKwSl1HtKqZ5KqZ716tWL461aE833tFaroucJqVCnY+S+8dCi1VJyxc20Wl2YVqsLeYa13VQhtG07P+55ffk6F8KF9SPvcnsUXL44ix6/ZzA7w8vCTB/ZvuLfsA05fp5cm8M/Vmbz2wEPKsq38OB6+N/9sH0ypalUXmV4eAlc/ALc8R3Uj5EMvJCcDNi5Ar64Cx5v4+C5k5vzv5eb4MsvuzNQegvrzVtXivZCCWbhe+CzsPMWBr4sGR1fzgabyMT8uVRK7RaRbSLSXim1BjgTWCki9ZVSe0UbmB4FRplDJgKfi8ir6I2qtsA89NesrYi0BHagN7OuUkopEfkVuBRtt70ebY4onOt6YLZ5/Bezf6RzVAg9b4P/3Yelw3pwqZh5b0LGurKda/mJyfzzjFcQ82QK4eNVIxmSsSyknxgKl7tk2UEOrIMk40ggUUQWZ/npMzuTZNHJUx5pk8wjbZIQET7dnsfNy3LwoY+N2prPhQ3cfN4tFSMsscP6KfDlJfoLH/BCjRqQXQ13v694C1LN3/ENs2Hnsuj9g3n9rNA7kN/fha0L4PbvSp8zdsM0GHtB8UxvoE0CncOSAEXKnVCINwd+fxZOvLxkCYlsioj3p3MEMFZElgHdgH8DV4rIWmA1WpscDaCU+hP4ElgJTAHuVEr5TRvsXcBUYBXwpdkX4AHgPhFZj7bBfmi2fwjUMdvvQ5ssIp6jdB9BbA5vi+wPum6S/rvxZ/jpgcihr/GQk+7n3dsbkO1MIsuZTJYzmWxnEtd2upt9rtDKgO4EH1t39jjituNIJKrGKIZO2TfrkC/uAKdcBfkKnlyXy2c7C1h62Mt1y3LwwBHzQ24AJu7xMGlv6Lc64NflWLy5QYlVssFdMZaJY4PA01ugp5k7IHMXjLow/uHKX9zM4y+ATXNg7W+lW5LfC+MushayoD1e5r8Do7rBqK4w5zVd7iiW+9eBNfBKQ9gyI3o/G2sk2m1fdaJnz55qwYIFpRq7eTqMH1o8iTLACb3h5jnapWvTT9bjXSl6EyI4k5MjAdqeB1k7YFdugLG3Z7DzJPNbFyYwE/0FPL1pPLftnFbUOPBmMptewaL34eA6aNYfds6DpZ9Zb8Yl1YG71sCbh3J5fF2u5YZYWbiikZvx3Yt+DPaugA9P065vwSjA0QQOlyKBTmVDDOh7q87L++MTMKMcfYZrN4OHFhVvP7BWuwQ26AKJ6cWPr58CY8+NPK84tFZaqBA4k6BxT8jdB5nbi9eeC8ddA+7drsOAjydEZKFSqmdpx9tJZeKgYVfr2ytHgt71/fwC2PSz9diENBj+HawYpxN9BHzarnvBu1rDzPYH6DB3H4ej6ONew8nh8BjcrkOomQIDg5Jvq9uh2w0w7QFdPFGZzvFtzoML3tbBD9fXSOSp9TEcL0vBPk+o5HalaK1WCXjcgAFOr9bicqqBkAVtw/x9FBRkw7yx5Tt35m7Yuw7qm1G6ufu1prp7ib678hdA34dgwP+FjouV4F35wRd0rfnyYPdiuOwryD0Ayz6DjT+Zm7YWOphSsOob6H5Dmd7ecYctaOMgMR36PaIzIxU6hxtuHUa59Q8t1CLdjwd8Ohy2xRlw3lva9cadUnT83R05UYUsQELAx1lhNloO7YGU0KxOIlrw3zxbv1aquJ2vQYLB5J5p9J97OPpJS0ifWqHGu7RmkJsGnqDfB2/h80h+I1WU+Z9T7rl4HS7I2lskaL+6XF9nAW9R+suZL0D9zqFlyVsPKfm5PDmwY54W2l2u1sE5316rfbvDCXhLV2zyeMfOdRAn/R+Fi8fqRDF12uv0h5d/q7WBSBUQXMlw1otFVUwNZ6iQXZHj5Zkt0bXLZH8+f9k3h+7Zm4NaBerGdm6MtJnSr46b2q7ylXQjmmspengPTHoaHmwEHh9FyVjCH9WIiqib5skpulaydsG22cWTiPtyYeo/QttqNtVmJCvSmlpX1BUHzH4FRraDeW/pSrmDXzLrnVn0bTW45O/neMfWaEtAh2H6UciWGfo2ziphd0Karnww9zXtIN7779pNbNUEbR9rPxTuVYeJqsyqAO+vepsLDoYZ604cqEvRloHH2iRx76pyMCEouFjc1FIGL5xaRcqKVxEmPQ23fa3Dug0HltdK5maYMFzb6dOawmn/gGsm6wjFP7/UPwKuZGg5EFoM1GkUw1E+HQZecFjXqNv0M1z+tQ5w2TCtKPTblaI9Fo5mYqLqgr0ZVgbyMuCVxsVrMDncIC7TNzGSScFQvPbrXlQM7W7wgSWMXPcBjTyH8Bgu3L2GIQNvilz6Nk6UUtywLIsxO8rmBiBeuOX+WqQdLNt6bIrjTITntmtPgudrxleBw5EI578F3W/UJXXGXaRNAN5c7dqlgKR0swCoJ3Ko7WVf6Zy5U+/TfrT+AmjQDS76EBpEyLMb8Ok8zZuna826y7VQo0Gp336loqybYbagLSEZG2HGM1qbrdkUUhqZiT3MX33DqTegYn0pFIrXp+3VSabjQFQAJQYtEg1eTEijxqQECrJ02egmp5Xe53JxppeXN+YxO8PDrgL9RWyVbPBkmySeWJ/Lypyg6yMsXs9ZAG0WubngnbTwaW3KgYRUeMasUvHeKbArzsvX4YYHD8Pij2DaP4snnanRCIZ9rOvKHVhjPUd6S20e+/WxoPGizRm3zNdpPf1eXelh8296zj+/gEObtKeJM1HnQr5mCjQ7CsnmKxpb0MZJeQjagxvgvZP1hVTotetK1sXudi3QO8NtztHVbLN3xZ7vf/88zMpz8orKpsRB/dVOho+ojTsAyie4kvVmyLAxpRe2kVAKRn/vYeo0H1u9AXIT/fT4OYWa+w0KkhU7W3tpvTQBh7+aGV0rgIQ0SK2rfW3F0P6ssWy7fW6Cv5iJw396CP54Pv7zXTYB/nhRu/yFIw6tECgVvcKyVVIxMXTNsgvfh9H9tMnCk62FqpVbYVpTuGdL+V+bRxvbvesoMv0JMylM0BfEmwsrv4R/7i2KmlkVoyhfIQPfTOVQUx97e3gpiOP3zvBA/1E1cBXIEeXSm6PdbTpfCW1N/8nDO/Qt37oftHZ90tVw1vNaQ4oXvxc+uho2z3XTLNdNs7D1uTKh3SLbXBAPzXrCXZO1sNm3Abz54E6Cdy6CnP1hobKmQEpvAhc+XdR88q16wyp6Vd0idi2MLNyUH/xxhPdYhQCpgK7YPOc/sH9VkT+ulZAFbV8+sBbqto9v3dUVW9CWgM3TrbWQgsM6aqZhdxj0LDQ/A1Z9FXs+V75w62u16bvEy8ClB6N3VlBns5Omi4rHQHpzdCx6m3PM4IqL9K51YfjWog9g3f+g4RDYslB/gfJN765O58DQZyGhRuic8z6HDX/EDs+0ic2hXUVCr17rovaB18PUR8DhABT4XaAMaNgCRswDZ9CdTq2WeoPq6ytN4aa0dmlpYxWdl7jbDbB3eex8tcVwoK+dCD/+tVrq6y2eKEgVsMN2wXbvKhGRkmoXlpDZ9DN8Mgg6XWKGxMbBeW9Dlj+2f5DDA5ffnY5h9V8mem/sm6vhs7PNSrdBU/q8sOMALByvvQIObNJlVnIOwPyx8GhL2LQA8rPAb35x531mC9ny4vAO2GVRaeP3Z3QQhzsf3AWQlA3Jh+Hw8uIbrADtL4QHDsJfp8PN8+DvG4uqbaggqehI0NU+etyk/bddKWbqwzgdVZLrEFHIOhKg36NxligSbesNTrx0vGJrtCWg70PwzVXRNQRvLsx7A278HSbdpR3B3TWgxSBY/2OQBiJw5r8heaCfK+cfinpeZx70G1WDxBzrW3VXsr6gZ71kbXPzJhHdf1XB2+fop4YDWveF7UujLsmmhLw6ABp2givfgsbmrn3E0u9KC+d65h7jjvmwYjwQgBOHh24u9XxBMWGsoiAJDL+i1i4YOEhwJQuGE678Abb9oXMV12igk8JbBSIE0+ZsrbFamQ4GvwStztSmjCl3W2vU4tQeDs4kXVnExha0JaLDUDjzOfjlEb2RcKS0TBi7l+j48ZvD8tge3gHb5uiLsNWZOm/oAxtyottnFTg9QmJ2cSnpSNC3jz1v1za5SOvxuYg7SCDgh3XT4+trUwIU7P4TXhsEt30Lrc28tZG8U9Jb6L8/P6J9sb152vyw8D045S4Y/AKsXhrgyx/BawYhBJxwsDH88odiQ1vhlvlQsxk066sfoMNrownaOu3h9Ae03T/kejK0p0Fh5q+E9MiuYYZDb5Z1/MvxXZwzGFvQlpDef9e/5gfWwYd9rJNw1AgzMWybpUuUH9ygvyz1T9K7tSdeDrMyvUStGiKQX1Mx7Z9ZBAzoPDUZwwVNekPHS7Vdtm57nfQmEkbA2tnd5uijAjBqKFz5LrS5CFZ/UbxPs76QuQf+eAcWjQTDFMZKmXdMIxVrCxSzLJxolAMy6kLtzYop9whXfFP8/JEw3HD2f6D+iXD1JPjuRsgozDIdgEMb4U1TEP/6aOR5AOp1soVsMLagLQXORB0dc+o9MOfVUFOCKxkGPFb0OmMTfDokVDvYtVCH7v78IKR/6UDSY6cu9CXBH7fl0OOPZNJbwJXfh2Zv6vpXnarRSqt15emNluoW+lqVGXeb/pvoAkehJ4Ghr6uDCl7oiRldoB+JmeA0fy19BbD6OyIWb5IAeF06k1chvnxYMkZXZbZy21KiqPuonxMGOQCheX/tmpWxkSP2Wl++PvcvD0cX2MqvKzzYFGFvhpWBM57Qt3GuZG2PSqgJA5+BrtcV9Zk3MrToYiGF2etbPJJCnPtmZNcJcPEExe1Li6fI6zBM+9O6kouXI3f6wF3ohVBF3abjrOhS5chPg5x081ELNm6H3avNg0F29fya4EnQ/30BRcRyRKA9F5wFRRqlrwA+Ol0nr9+7PFTIKhQ+p2L16X4+y/Fz3WseMnYrPh0MW36j+PWiYvv/Nu0DNRrG+QEcJ1TTy/foYDi0rWzgkzrFXEr94q4s+1ZF932sv9rFsM0pjGsRwcAaRAO3Qfv+1mqpCPzlE+h9N8x/G1aEud+4C7QNzxevVK9kBKqz7SOWO7JZEsOTAt5ESMyC7LoR+iptYnC6oeu1umn5WJ2RK3wTV4liZ5sAW3r4OdhEgQ92ZcCovuDZUHzqeKjbEa6IUDH6eMbWaMsBZyKknWDtL9isb/RifcoPv9WP7ZAowKPNtX/OvlUw7X6YeIuOQgvWMBqfDL1GFBdMAQN8VbmMTBXVxMsNU7tVDkV2kyj/l+bvsNEDzjQjyYptbJn4XLCzU0ALWZO0dUJBKYSs4YJzXoc7V+r0oTah2BptBdPzNr1r7PdY33JJimJ3cmx17fJ6CVzfKJnFH8OPtxf5uC7+SCf5uHWR1pwnXAkbplDMHhtwaa23MsurASNg+xLYulDvsgOVe8HHAhGSnTE+FAe0HK5wp+iLINmsiGt1/XkTQ+dqsbiE0X6iTRR9H9IbxTbW2BptBZNcF25dqP0fncH+rKLtqb1ugVRH9F2qIbXcvN2uJjOegYk3hAUSBGDPMvjvX+GnB7WQ9eUX96eVQOUvGT19JORnw5mFhTAr+XqPFe5E4aTe0fs0blH0/JQ7AHfoh6lQ+Nxw8ITQdneeICXYNTVccNo/4QyL9Is2Rdga7VGgZjO4xCx1smeZdj4PeKHT5XDCKcKdW5J5bqu1jdYBfNiuJh+eLOxZEvkcK8aZfpkRrBCG1xS2BpXa+2DHYv2wscbhhm4XK/47O3q/Hn2Knu+sFWBlfz/tfnESMAClbb1zL/EWuxY8bQOwO379K+CBHXPjX//xii1ojzINuuhHMP9qlsLkAwUsyQn1qBXglDQX6z4yogrZQiIFLBTOJT5Qtm9jlcVwQsMOcMqN8O2syP3EB6PaGJx2H/R7GEb/4mPDSYrN7T3U3il43XCokbL8we14qyJzTvzJa8QBte0Q25jYgrYS4BDhxy61OHvpQTbm+clTkOIQkgzh3XZpTLoyzonM3emIVHJt1iYyqQ3gsteh/SC90WlEUjoVnPCnNsHMfE5Xbt5VW18UfjfsaxHdHpPcQDjvB/j8/MgZuYJxJkAv2zYbE1vQVhJSnQYze9ThpwwPy7J9NEs0uKhuIomGxPRbFKe50RXuhE6oXHV4tIuXLWyrFoYLRkyBWmaZOMMQLrha8f1nUBBsKgpAo9WQnK2lsDdX1wDr+r7BroMB/DFs3i4HnNHZoE0juGWeDqjZMQ9SGur8Cpt+hsxtelPNmaD9xi/6UEeS2UTHFrSVCEOEIbUTGFI71Heny7Xw6/9h6aUuTuh6vS43EoxCu3QZ5hhl2NFhVZWTLigSsoUMu15wK8WUj+BQgc4CVm+TkJIZ+h9sOOCyDk6mr/KQW6CDHawwBIb3Fdo00kK6UXe4Zqp135y9OjVorVbam8EmNragrQKcerfe7Nq/OlRr7X2PzgDmTNTeBlk7Qsflp5mbX4WqrS1kqyRtzwh9HfDD5BHCktFCQ4G6Ucom+TzQrqPwSXM37031sWhjgDqpwrknG6zZHmD9bkXzesJV/R2c2Cy6a1fWLh3CW6sV1G5T9vd1PGEL2iqAu4Z2EVv5FaybBEl1dZ6F4E2IIS/BxJuLon8EqOEBZxvIyTATkpgJo2ORUldn/repHKSF5Q34/VmdtyCexNsOl3YjbJosPH116TJwB/zw/S36x96RoN0LWw7SBRytypfbFCcuxV9E0kVkgoisFpFVInKaiHQTkTkiskREFohIL7NvLRH5VkSWicg8EekcNM85IrJGRNaLyINB7S1FZK6IrBORL0TEbbYnmK/Xm8dbBI15yGxfIyJnl9cHUllxJkCXa+CSz+G8N4rv9Ha+Ei79Qld5SKip482vmwQPLYG7psBN4+HZzVCzUexz2UK2cvHDk6Gv575uVliOgxJXV7Bg1ouw4gst2Asy9d9Nv8Dku8s+9/FCvBaW14EpSqkOQFdgFfAi8KRSqhvwf+ZrgIeBJUqpLsB15lhExAG8BZwLdAKuFJFO5pgXgP8opdoCGcBNZvtNQIZSqg3wH7Mf5rjhwInAOcDb5vxVioBfx6Bn7ymf+dpdALctggcPwY1/QIsBepOsUSed/9SdAgPuKp9z2Rw99q6Bqc9BgZmSMz96nvgQ6nYs+/nnvVlcsPvyYdmnkXPS2oQSU9CKSBrQH/gQQCnlUUodQt+EFtaZrgnsNJ93An42+64GWohIA6AXsF4ptVEp5QHGA0NFRIBBwARz/BhgmPl8qPka8/iZZv+hwHilVIFSahOw3py/SuD3wpeXwtNOeKuDrjf2zknlJ3AjsW0JfP8oGD5wxmlGsKkc/PQKPNYaVv8CDXvEP655v/j65R3UiemtogcLDluPCfisM9PZFCcejbYVsA8YLSKLReQDEUkB7gFeEpFtwMvAQ2b/pcDFAKY5oTnQBJ09c1vQvNvNtjrAIaWOeO0VthM8xjyeafaPNFeV4KvLYVVYiY+9K3Qp84oMkx19FbgPQ1ImJMROFmZTyVB+GHMNDHrOTIdpfnvFKJ4as5Bln8LycZHnzN4DowfAi/XgP03hmQSY9q/QvAjNB2C5kVq3vW2jjZd4BK0T6AG8o5TqDuQADwJ3APcqpZoC92JqvMDzQC0RWQKMABYDPqz3vMNdPYPbKeWYI4jIrab9eMG+ffsivL2jS84+WDvR+ljWDtg6s2LOm7EN8reC01PkgGBrtVUPvx8O7Yeb5+oQ7rododNl2u/VmVS8vzcXZjxlPZdSMGYgbJ3BkVzFAa+uPTdheFG/Ia9AQlpRfltxaAF7wbvl/e6qL/EI2u3AdqVUYUTzBLTgvR4oLJTxFeatu1LqsFLqBtN2ex1QD9hkzhPsDdgEbW7YD6SLiDOsneAx5vGawMEoc4WglHpPKdVTKdWzXr3KkfL90KboWuua7yrmvPlZ4CoI/YVKyMVO3nK0EajZOLIGGgsV0BV163aES8fptISXjtc1xqyKKQIcWKs3r8LZPieoVE0Yq741qyugNde/rYBT7tSbrN1v0tniCuuQ2cQmpqBVSu0GtolIe7PpTGAlWrANMNsGAevgiIdCYUT9zcAMpdRhYD7Q1vQwcKM3syYqpRTwK3CpOeZ6oFDcTDRfYx7/xew/ERhueiW0BNoC80r87o8BtdsQVbClNqmY89ZvpzfGimH71x5VmveER5bCyVeUcgIFM96GJ9rB+t+LmhNrQVLtCEMC8PkFxYVt5lYIRIg6FGB7ULKYtCZw9qt6k/XCd7XwtYmfeL0ORgBjRWQZ0A34N3AL8IqILDVf32r27Qj8KSKr0R4Gd8MRG+tdwFS018KXSqk/zTEPAPeJyHq0DbbQDPEhUMdsvw9tssAc9yVa4E8B7lQq0u955SIhTadOjESHYZGPlQWHUxeDDJbxyhawR53zn9Q/eKlRroF4yMuEj66Gw7v1axF9i29lPgBdbXfaA6FtjU+OXJZGHJDa2PqYTcmJK2BBKbUE6BnWPBM42aLvbLSGaTXPJGCSRftGLLwGlFL5wGUR5noWeDbW2isbK8YHJbUOR2Duf3Sm+opg6CjYPV8XjFRecDhAlC1wjwoCFz0DLc2rvN0Z8NubsetvRcPvgYVfwi+QHcgAACAASURBVEAzqctJV+kowS8vse6/f2XYkhyRk8HXaBi/x4JNbOxI5aPMsk+jpDNUsPD9iju3uwb8bTkM+xianAauJEjMw7bTVjCXj4Tnd0O/24raWvcru4dJwAeHw1wCOwwDd5p1/5rNQl8veMc6V4EYcPZrdh6D8sT+KI8ysWrd+6LErZfX+Q+sht1LwZMFjnzt7uUoIHppVZtSM+2lCGbwMgpadzK0DdM6V30bVoHDxJUMA58ObTu43jrvrCuleIUOm7JhC9oY7FwAnw6BF+vCu91hdRkrfHa/WV/IEZGSRf6UFG8ezH4lNNLH4YfEHHDEmezZpmQc3g1rfw1tW1ZG7xLDCY1Pgg6Di9p2zIevLrMQtALnvgmdLg1tbnGGtR9swAuNihkFbcqCLWijsHMhfDwANk6DvAOwewl8czUs+qD0c7a/SKc9jITh1Ik7KoqsHRFuFzHTKNqUO34PHNxa9Drgh3F/K/18YsCFT8Nt3+g0iIVzjj0Xay1ZFTcbAHS7AZLq6Hy3hTgTocWZ2nY8+z8wd6SOGLMpG7agjcLPDxZPyuHN1UUQw8t5x4sIXPAOnHpf6AUOYLi1jc0VYee4PKjRyHrt1cVEW6sZXDsaajenUl3dS4M02Gkvly10dfjb0PcWnWiokCUfa2UgEhunFW9LSNVZ4XreBin19fWoArDxf/BmO/jffTD1PnijNSz+uPTrtalUl2LlY9ci63ZvDuSWMcPV4Beh83CtQSSk6Vu4E3rBhRW4GQY6scwpd+iE4cWoBtL24UXQ5UJ4cAHc/g1c+qrOXnas2fiH9hAA+KMMd0Q9r4IelxZvXxTjugmvU1dISj046wWdfyPg1T8AwXZb5dOmiB9vh+zdpV/38Y6djzYKNZvpZBvhiAGJ6WWb23DAXz7RGxR7l0N6y6NXEuSsF0ESdPo75dfJwX21qRaC1u/TPsMi0LqvfuzfdKxXpfn2Aeh+aeQkLdFIb6JNBXUjFEKMVkzRkajDdCOx+rvYWbgCPt2v523R+9lYYwvaKAx4XNtkg80HrmToeXvobVtZSG+uH0cTwwGD/w0Dn4A/J8PuVVCnBWxfCn9UsEZd0SwYB73DbODzoyRVOZoUZMGb55rhtyU0PY2YCmkNIh/vcp2uwFEs/6zAzXN0AvBClAqQk7OGQ5kLCAQK2LtxIP6CVkQLEVT+svn8Hu/YgjYMpWDbLB0HnnYCDH4Zfn3UvID/v73zDI+juhrwe2aLpFWXXCX3jm1wB2y6C9gUm9B7c+ghlIQQAyEhAUL7EgiEAKF3g+k9jmnBYBv3XuSG5S6rl9WWud+PO5JWq93VSpZkGeZ9nn12986d2bNTztw59xRDK9mJDxxoKVsGpxuGTdMv0GGhnfrBh39qfTez1uKdWyH3UOg2vK5tx4oDJ0842xbVTWDFS+eBsZUs6PNy9Vuwexn4yrUbnxhw4efQZVhdP6VM8re/RFXVptq25MH/Acd0ILbv4cCpTZPbpg5b0YYQ9MGrp0D+9/qzM1G/LvtGh80mZrTcSLY9IgLjpsORl8GMnOZP+O0PyR0gOQv2rG/e+mYA/nU63L1e30igLmF2e8EMgisRAgETFTB0eJ6hMDpUYe5N0lU1LZyJcEEcWbKcCXDZ15D3GWz5ClK76oocyZ3AFyiltHozhrgIVO6op2QBsobupOvReez8tj/BqsiuJ4ecpQceNs3DVrQhzHsUts2tG835/Hp08Pb5cO3yAytbW1Azmi/apEN0D8RUaUUB3L4EFr0B793RPMd5X7ke2Y46B/qM0/bN9kbm75fg25uAd1EHEg4pJuOqdbj7lFP+aS6FfxtKYLuHHiOEaXckkDO08e2BHikPOEW/athVOpedpXMBUJg4An5chuAwVT1DwVH/mMnmd0axddbJFK53Eqi23ABNGHg6nD2zxf76zxJb0Yaw5LkIj8wKCjdAab7OYBSLgnUw90HYvVTX7jrqd5A9oNXEbVHKd8GL46F0GyCQXAHVCeBPos2ze63+HMZebsXt39C8bfzwKiyaCV0GQVocddLaEiOzmrRr1kbMppYyZTspU+ocVxONyUBmk7avlGJ3+Xx2l35HUHlDFxB0GAQdbpzBIAn+QO2hNRyKfmcvYcJvx+J2d2T3CijeAl2G65Gst0R7xzTV7GGjsd27Qoia/0saf4ze/oOukLDsRe0WtvQFeGqkbj8YePt82LdBjwZ9ZYCpk4QfCNbO0e89RrFfSt4MwI6VsDaCD+mBxHNCg9TJUfnGbHr2zx0lX7Kz9H/1lSxo25D1CjgcBI36l7/h8OBy6bRinQ+FgafB+o/hoY663NKDWfDNva1bBeSniq1oQzjsIj2KCie9e+TImlA+/ZX2r61R1iqov3/265aXs6Wp3Afbvtc+k6EYQbT9sI1xOKF4BzxzDj8Jl7NwEodH8BmMwl4KeTr4Om8GP2a7atyRNWj62FOxEKUaj6cOOOpf/p06noyEDLOXvwKzf6NdHIM+7Zb27X26AoNN07AVbQjjfgsdh+gsV6BduRLS4MzXoyTNtlBK50SIxMEwovVXEnHkqA7A2eHywGFT4bFJUJzf9r/fNqiY51MkiinlY/NLflSx42H9wVIk3ss67CZWWVm/3MJXd0eOjPz2fntU21RsG20ILo+uxbThEz0plN4DDj0/dnBC5T74+u7oJ15CauvI2lKseFWHFAe9DZcpp4lyggTazkg75nwo3QneduYpEI4nUyffVqYOXY0VMBBOirdpNtdQvjMX08MRffrf5UhDxenw6grWt4dVebfW+14W5UZXXaKjxSI9/dlExla0YRgObZsaeFrjff2V8O8xVtKNCIrW6dF1ltorK2Yq3rtKYVbWjYAUCkEwPUHM7ABlVxSQ8mwXjCpHgz6twaAJsOEb8LXzKr1BP9z7o3bT2vgtPBlPZQyHSdeHFpNw4cZmZ6QspRylVL1H/Ho/YbjpmDKCPeWLiJj30hoRuAIBHGGjA5erfi2cDofAriX1V0/OLiFn+F5QHQiWlUDQh5HWCwlP3GFTD1vR7gfLX4WKPZFdkBxuGHKWji5rr3x8px+zsr6TuiCYCSZ779lGycUFqBSTYA8fqY/lYBQ4CfTy4tqUBNWto2jfuU3nWW33CGycq28Mu9bFt0rH21eQfsEmgs1Us6rawPtxDgt2KbqPE3KipDLMTZ9IdaCEEm9kZ2S3z48rrFiYiIuszPrJbSc9BK+dAsFqRWavHUz983Nkdd8DhgPvQquwtaHPn4T+F+DqZOdWjIataPeD9R9GrpbgSISJ98ORN7a9TPFSrYJ4f3RGHJeKTyi+cg9Yg5TKC/dSeaEu124UOukyeniEtVqG4m2ttumWQTX83KGP1jexfX4V2deuJyjNiwIJrE1l3wkTUV4Hs/2CYUDviXDu2zq1ZigiQu+saazc9S8CZkMbjGkIphIMa0SrAFH9+eq2Hix/VU+KDvqFlaTemgwdMmkh6V0KMRwKqJk1VWDq5LfVG17BkZKL4enSrP/3U8dWtHGglI64WfWmjsAZdimgIO/TyP0dLu0ec6CoLtOTc0lZOmtT+FNmUJnsVGWoPi5kbcMs5KqLD1wmkeZKzawAVafuI+mjbKT64JlLTcqEqqIW2JCC5CIwqyDnEN3U/zjIyoWCLdQp4pp3U3tvDD7TpNrRSOaWKPgXZ7Jv/ARUuRMQguhUCZv/CwufgsPDzFNBs5r84tkEzPDEB2jXLpeLgAtQOmjBVPDtacdTtq4uafjyV6zcBlZBuWGnf4srMYYh2vRTvXEWiYdMR6JViPwZYyvaRlBKJ5ZZ94E1ehVd9yshLXrGo5TOOnv9geD7R2DODB1+agb1hN65n5is7LGLBWoP26mg2np0TfhrJpkXHoJUhthfPUGq780j01FJUbBGCeuLzY2BC+HQv1awY242VQdJ2jxnIkz6DXz1T/CWgq+KZpftMUy9N1x+XcL76sUw72/gW6nttX7r3pMSBCx/ZMMF+TMddP97Kt7Usib9nm9pBvuOnwiVDsJdQ/yVsPjp+opWKcWGgtep9O1q/E+KoIB983pQtjGrXmWGcJ9ytydCfZwwgsXrqJh/B4lDrsaZYdcjD8VWtBEI+mHrN3VRYrVKFkDpE7xBlqQQLvu67QvbeYth5pmw5Qv9vcaLoGCd4m/XF1H4/sYGLlzVpxVS/PViUi87BMc6D2YPL9V/3kjggt0kAl2MMoLBRI6mJ1McXUgxXGz6Dp49/+Bx7xEHpGTrSLNx02HNbCj6EUp2wddP0DSFq8Bp7VczAEV5MP8f8NUfwfRCgjdyWhbTyvW6++JRZL77DabE/6Olvx4JldEv0/AE4pX+nXj9e2nKHytd0wkViB3yNf/lSYy97PNGtqTA9OFd8TgJQ67FlTU4bhnaguWvag+hsu36SW/ig21X6ddWtGFsX2BNAFgnsK+i4d09FknZkJrTOrJFQyl4+aQovrymUHH1zihrCt4RVfiWLSRRAg1MDCLgcnrpi4sUceGvhmfOi32TaW+kd9GJv2uSAQ09uW7Z5Nthw9fw4R9gb1582wv1LVYKlj5ff3/EmiIMzO1M5o4c9uXG7yAcWJoddZkjAQ69qH6b178P1cS7YGqvinqJbCIx/+XJjLngvzjd8VwMiurVT2EM+w2O1EYifdqIBf+E//6u7ljlz4NXToKLZ0OPo1r/9w8eI1sbEPDqnV9ZoKNgqkujK1nD1bAUjcsDRxyASLCdi2DvKlBm5AvMd2RZDA0gmBiwNA3PiSNIzTie5P7jcD2bA0qbGtejy0k8d/7BpWQBKougcGvkZU43HDKpCdm9pGEQR7w34cSztpK59l325TQtCsPoFMHB2aLjYBh7c9jvWCG08ZKZdCjHTp2G2YivtOEKUrCpCem7VBDfj+2gtAXahPblHxqeu4EqbWZrC+wRbQh5n8efGtDhhgGnwdp3tQ0wUA1Dz4djbm9dGcNRSvFCaSkzvyimOsMkdYuTkfdmk/ON9pHacXQlymPGvKM6VyeTeuwwpMKBIDhKnSTeOADZnoDvrs0k42blJ5D3Tdv8p5bEV6WT1PQ+Ut9IdyzUN8QuI/SIfd5LULY7zo2puohkRwLkjIH+U+C/M4j5pO46soD0Z+djJDfd4yB7Rh5FNw/DX1mnCA0nDJiqM2oZ+3bDv9+A0lKYNAnP6NEkuTpT6Y+vouLefWtY9W4nnGnDCJREj0BQQYOE5KYlKTYr48/pEJOSH2HNm1C8GZxJkNFH54FMzIKKXVCyBTydoPekiJmfqvZFz6+8Z2XLiNgYtqINobqUqLH14ggpzazg3Hehz0Qo363TCmb10/WX2prH9xXxam4JQUuTlvUO8O1jezjuys5kL09g99gqOiXEttel/KUHUmXUC0KQSicJD/bC95utLJ7ak28O0jSRhkNH562eBe9foZWrMnV+4dNfhfdvb4K9WSDgALcBfU6Gs1/Vttqv/hT9QhYDUn+3BklqmpJNJYVxMpLuv8xhboHw7V91uxmEUVfBif8HxpVXwPPP1610111Iejo93n6GtXHMRSkFGx4fy+ZnRxCsdGM5ekX4D0Eyuu0hs/veJv0HI7kFEtiW5sN399W5QwQqYdc+CJ+ILVwP2+fBqOug87B6ixIzG7rA1ZDZe/9FjAdb0YbQ+wQ9ERaOKxlOeVI/ajrc0PfEOqWb0lm/2pKgUizzVlNhmjxdVKdka5cnKZbfVMQx13dm09llNKb/3QtTkUg2OofC8ee+lC8/eLOdqwBkdYR3L6mvDH3l8PI0kCaGkSo3+DPgiN/oJxkROPRCWPIsDW/SBhz+a9g7roKqJhjpDISJxlF0FB2pdcztMPYWHYGY0kUX2OSFF+or2RpKSkiYeiGOBb8jmN64m1XaIXssJQuRlKwryYsnq4zT73s6/j8AIC7cPaY0bZ0Q1n8MX/8Jjj35ffqP8mE0tv+UCcoHy5+HiX+rNxvtcMERN2nvkPCyVMf/udkiNom4Dr+IZIjILBFZKyJrRGSsiAwXkXkislREForI4VbfdBH5UESWicgqEbk8ZDuXisgG63VpSPsoEVkhInki8g+x4gtFJEtEZlv9Z4tIptUuVr88EVkuIiNbYmekdYOjZ1hK1DrnXMnQfZzOeTDkHKsceBtGLgWVotw0ayc41lRXc/zmbVy5fRc37txNNM/G4kE+Pn9nB74MxXdbcyisbKgslYKgCdLLJOJQvsKBeqaNC5qF0Oyy66ru5S6Dj38ZORdB0B/5xhoLpxfcO+HVY+HhTrDgCa0Ew2XtlLSWI4d+wuRbttCvQ6cm/cZRjK5VsrW/mwhZfS0l+913MH161PXFFyDjo8br94hA9d6GftSgzSIn/g3Oevw1pr92N+ld4884JsndSTrsBhwpzcu4vuxlmHWONvN06bUJw2jC5F6gKmLd9RPuhqNuA3eqHt2m5OiK06FJ0luTeEe0jwKfKaXOEhE34AHeBO5WSn0qIicDDwLHA9cDq5VSp4lIR2CdiLwKpAB/BEajL4NFIvKBUqoI+BdwFTAP+ASYDHwK/B6Yo5S6X0R+b32/DZgC9LdeR1jrH7F/u0Jz/B+1D+zif+tRz9DzYPBZbZ/w2FSKJwqLeb6ohGqlyHA4uCU7kwf27qMkjmfdQIoikKIdfYPKYOXubI7svgu306TC56CgIglfwMHOMg9ZVxYz/vtEHN66EY0C/C45MNOlAn3Gwu714PcSf6pEBQS1r6vTD65qbVONZjhxNdFk6vRCQkXdT1UWwH9vhZP+BufMMpl39XJUWRnHpj5IrmcpDocTTvYx5rjxrHz4JJSr8ZNIgH0UR++wYgWcdBKY0c1BEjBxFjY+a6kUbHxyXMRlLo+eaAuWT6JqyVIadxczEE9nPCNuQ6I9p8eBMmH2rXUjz8JdHUnvGL+SJ+jTxvgwxIDj7oJjrfp/ruTYGflamkb3iIikAccClwEopXyAT0QUkGZ1SwdqLN8KSLVGpSlAITpm7yRgtlKq0NrubGCyiHwFpCmlvrfaXwJORyvaaWjlDfAi8BVa0U4DXlJ6mDfPGnF3VUpF82NqEr2O068DyeOFRTxfVEqVpVQLgkHu3FPQ7GQkphI2F6bhcfvZWFiTjkyfaQWjq5n7t72M+ks2SXsciAl+t+CLPNhpGRQ4fDq5uDIgkACmU7thORPgjIe1qWbmDbD5+/i3mVLSBBECcOaD8NYt8fV3VzV8uPZXwpq/LOGi3hfTN7sMPFWgTD1pZill5+xPOX/iXN5963dUdUpv7C+wjo2MUkNJWr4OHnwQ1qyBHj3giy+gLL6Ah8S8yPbUvd/2ZPPzoxFD0Xv6fLw7I6eX2/adfnekdMcz6g6qt31OsCQPEKgupN7dz3DjzJ1AQveJ+6VkQUfveUMi+L55Yyq5/R/FnRhfFnoFyA+PwgkPRBwdiVGXBrUtiWev9AH2As+LyDBgEXAjcBPwuYg8jB731NwaHwc+QCveVOBcpZQpIrlAaCR7PpBrvfIjtAN0rlGeSqmdIlLzDBZtW/UUrYhchR4p06NH+/Dniwe/UrwQomRr2L9qz8LO8uhn2PaJlWyfUIm7WBh5Zyc6Lm5F+4gCVwW4q7XiUoDLC2nDYci5OrigpurrdR/C4lnw+rU0OrI1AtGmcxriStaVYw+/BDoOgpcuhapifSGmd4Wjr4YP76zvhRIpzsAlFZyVeCbsKY35u8l7Sznn1Ht4ae79jY5sDQwqZ39I0i8uA69Xj16XLIm5TigCZL27lNJj+1F05ggASlZ1YtENU6nYUGex3/VZ9BmzhLS6z4anM0kDL6n9Hizfhn/3PAj6cXYcgSNjUNRsYk0lIc0qx26xZflg3n/0CiZf+TopGSUgsUeiAgTKK3DuXQGdWy8nR1OJR9E6gZHADUqp+SLyKPoRPh24WSn1toicAzwLTESPXJcC44G+wGwR+R+Rz/9o10VjD4txraOUehp4GmD06NEHSSwTFJaY9HwhlY5zE6nIDbDhwjJK+zXRmNgcBHwZivwp5Q0UrbJ2b0ukRzQCdUrW+lkAylfA8V/Xv8gBRp4FgybC7IehYCNkdofvn2u4XTPOwVRiBpz+onbPA+h9ONy1WvvbKgXZvfTFvH05LHkLMhybOb3Pn5m9+I8UVvaqt61BKR9jGI3bIARwl3vp//581p8V+XG9Br/yk3HN7VDZfKdlUdD97k/Yd+pwFl1/Jru/7IvyOYl06YTn03V54PAYtdocKd1xpHRvtmyxcLhg1NUw/5G6ttXfHsHqb8eQlFbOkKPnc/I1r8VOxB8MULWzgKQ2nqSORTwWuHwgXyk13/o+C614LwXesdreAg63Pl8OvKM0ecBmYJC1ndCj0w096s23Poe3A+wWka4A1vueEJkibeugp6oQXh9uMPT/Msn9Kpl+b6Rx0hk55HzZRok6BMoGVhNMNGuVa9BtWoviV7KehBIO7/8hRx3yFh3Sfqy3LNIjOGjn/7Xv130vWA9r3tNFLz0ZMO0emP66LrgYEQOqU0AaUbiJmTBwav2RkYhWsB1617Wfchcc03cmt42cwsCM75k05EGcRn0/rlTXLpzO+G+CuQsaD0FzF1cg+doPdi+HUE7zNIZR5qXk5kQK/tsT5XMRbayf3Fn7BSek6/fBZ8OxdzTrJ1uEQMT7i0FVaSpbNx7D+hUn4K+OFOysUaaD/JXt6wm20TGAUmqXiGwTkYFKqXXABGA12qRwHNpuOh7YYK3yo9XnfyLSGRgIbALygPtqPAeAE4EZSqlCESkTkSOB+cAlwGNWnw/QCv1+6/39kPZficgb6Emwkpayz7Y1Sim+ZBnL2YyJwvfAUHw7++H06XugERSMoHDEjI68N/dHVKtPyim8g6tZ9tgOur6XhsMruAodZC6J35QwKPd7Lj7hTgwJYhi60mq5N4O35s5gTf5RKIn+KFO2HQo3wnPjdK5f0I/zPY6GCz/Vo62VH0cVnSGnQXoqbPgUyiKkXDSc0HdSfP8jxVPGydl/rJVzUJcvOGvULcxZezNFFT3I8OTTr+c8jOr4jDoC9Bs4hRyZxtvqM7xETtQS8CSgDIP1nMws3uRszqIfnzX5WcIImGz65HgCwdg36dzDYco/oGijrtqccgAzHZb8CMteirZUKM5P5O37LqbHwBGMnPQ1/UatwOEK4HDqY+CvdrF7a3d8Pfq3mczxEK/l+gbgVcvjYBN61Po+8KiIOAEvli0U+AvwgoisQJ9btymlCgBE5C9ATRWtP9dMjAHXAi8ASehJsJoEhPcDb4rIdLQCP9tq/wQ4Ga28Ky15Dkre5Tu2UBea5Hu3K8rX8EHD4RVStrgo6xvn6CleY2W9FcBhKBwORfGYKorH6NGbUSWMObc7yT827k/rSSjmsgm34TDqK5/UpGIuPv5OXv/fH1idd5x1I2koYIeh8NRw7fFRK5mpk/x8dqN2yYmEBMFTBlvfrwtKyBkNe1fXzWAbLm2WOObOxvcGAK880kDCgV2+ZGCXL+s3VufA9p3gb/zYyNqFOIvPxpsePRuWmeCi8NxT+eClJ/CTzLfcTk++wU0TTAlJSXDGGVQvHAmNJCYfe4suKZ7WAvEF+8v2H6xc4lEij3VyJ2Hj4kPZuPhQElPKGX/ROww+eiFm0GDpnKOZ9/Fp3PRjG7oUxIE0NQHFwcro0aPVwoVRKigeIEpUBc9SPyNSxZgTMBc1rCkVTDD5cHY+VV1i2ANDcqB2WpxAz+0J/DCtNE6Fq0hwmTgcEQoHKugwJ5nDftt4tpxfTryZAbk/RLWhmSZUBtJ58tmXqKhsmDCl+9Gw7dvI6xouuLMalr4Ns24BX4jeSSrWeV9Df9blgZFXQmGeHin1Hg9H/a4JSX8uPw72xRGfe8vDsGUb/PUPsfu5DMhOxezVj2efuQTDHyTodkac3TllxRReHJ2IP6gjKgbzJqdwDUkUxT6cCQkoEUrGnc9n7n+xZ0MCJT/GrmnmTIGTH4URVzT+V1ub/Hnw8qT6N9qm4PLABZ+0vNeQiCxSSo1u7vp2ZNgBZE8Ef0n3r/PwXjcCKuoOjelQFA72xVSyRiUMfyiTbnNS8OzSOQtcKYrNA6ooGNz4SMuwRrIRFaRA4VGVYCgwo1/mhgTo23VJzIkKw4BkVwmBYOQaUztj3AtNvx6pDjsDVnwM6+aAvxqcjoZKFvRIdtNsuG5V9G1GQ5kQLPc2foGkpcNxp8DxAu+8Aesi/FiSExKclp9vAGPzBi479S84qrx4M5JZcNVk1k+pu4aHcwhpnTP05J51yFdzDqs5i6O5j+P4C07C3J0cDnjuORg7ls/v68zit9LqUnuKnsmPlgAnUA4fX69NNMMva3TXtCq5R0Bad9i3zko83gQMp/aVPdCumZGws3cdQFLxNFAOzou24bp8CyQGIdWP6TLxp5h891AEv8iQEWxCmYO+s9JI3uWsnbTylwuHvhvbb7MGM4YCBUjxCL/7XpgSY9DmFD9GnKVajjkigtsAOmeI1LNDK3p0XsS4IS8w4dgXMRZ8irF9Axc/B1e9AyfdBhNvjh5F5o+e/CoqgWp4cTxsyh8VKy4ADjsCXphbNyJ99SPoGvb8nZEIyW5wOcBt/TEziKuiCsNUeArLOerv79NnzjIAutCR0cZhpHbVSqe+W6rB/OQ7WfP7BTBwIMrhRAHezgPwz/wQLrmEPb7+LJqZVr/Ekgrfpw0JeuHLuxrfN62NCFzyX+h2pJUdz9q1qXGYNZxJkNa+5sBqsUe0B5DOZJCGh5IQ25sIJP5jOe7b1hP8NhvvLYfh3plIh+UJbO8QJOixtGtQ2yUNN4zY56HHBdk4w0rLOBIgJ8fAIB4fXMHrM0h0m+hYlJBsUcAVqZl0zIXxN8L3z0NxiOezEYCEMjDMJIpKcsnOjJ0KUATGDPuAL769HtOsG9k6k3TV4OUv6Ud9w/Bz4YRfkdtxOS6HV4evPwW43EjvofS8+R/0HJ2MUrD8cb1O+P8feBp8eKUuQ6QUFpY1EQAAIABJREFUHHImnPiQTipjBrUs4UnaFz6p8xL/13EzPY+Zh4vK2lj7Um8nvij5OzurRtHvEBhXFJJMyO/VMZMJDqgO6lGsw2g0BMlV7Wfcc18yYOINdJecWp/Us2fqPMNFG7XvfaAaRkyHofcN493ta1mRB4jCKBGMy+CCbNi9gojOkbqeWZjhXhQOj59ghdZopU3L4NhqpObAFXOhbIc2IWT1A38V/DWVmI6fDpcOkW+P2DbaVsBHgE9ZRT5FdCGNY+lPAk6KqCSbZFLQdrf8ebD0rQArj1mAa+quetej8kLw245UnahTwJsOxbpLSsi7sIxAkiJ3ThInzM4kJ83Jhiiz8M5EOHtpgCtX7WH30Oq4bLUiQVI9AYKmQc1ZneAw6eoWXsscQIJh8N3z8P4Mq5SPCcnFuqsAPbst5pKzb0LEjKlfTBOefuUFikq7gysBZUKvE+Dcd3QWtY+vg/S1L3H8YU/gdkaYOHK64IiT2Hf8X3j/cr0vVRBq7iquZH3BiqEVVW3ZIUPb8fwVtX+PhAw47726R84nh8NuPcAkO2UTxw94nG6ZS/lu0+Us2XEBgWo9PHS4daL3a5drxc2TD8ArT2iNXu7To9jEOMcyLjcF/9pAYR50GgoZvXSzUrBzsVY6OaN1dsDPb4Z5jzTcREIanPQIfPbr+jZOV4dKBj/1Mauvm4x/t9ZWPW5cQM8bfsDwBAgUJZL356OpXjCUGzfFJ+6B4KkRsGtpw3YxtDI+522971qD/bXR2oq2hVnNDmYROYonAScBTA4lB+evD2Pps4K/CjAUzl/kk/j8YiQ5iOkV/H/vj+/uQ8AX/ZkvpQuUx6jbldVPP37lpXr57IWdqAjXvFIQCGo7pwgkJ/hJTfJru57Vp0ZhJmFwT1oPDjWT+ddU2LUGzEId/x+qU3O7ruC8aTNI9hTXruv3u1mbdxzlFVl0z1lJbtdVkJRK/riXKCrsSJfh+iLxVcBXd+nEImZZKdecehZpnr0RlbZyunj4ve+pLHTUjXREK9Ip/9CBCbPOb6w6rYWh6391PhQeG6CVczw4EmDsb2DCvcAvT4O1Ifkka66tcOGVgoCpFTHgC3p4Y8trbCsZgcOtMwIOnAaT/wElW7XSrRk1V5fCA1mR7a3ORDjjNXjvMvCV1v4YY756GU//fZT8kMPS08+h503z6XnTAhzJdUXvgpVO0vMmM3L8gPj+eCtQvAXy5+sbZI+jG+62ok3w9BioLrH+v+hr4IKP6vILB336acTh1jemliopZU+GtSMUKqqSBai2yjSvCO7AzPZgVlq+fkEhMKs75R93JWX9f6gYPgH2xXalciU3XtW1ME9ffOneBLKXJVAwUo9qQ++tQVOorHJgiJCS7MflDEZNSVeFyR2lW3k9cwDXfuhk+fvwzV+gJCxR1Padh/LI0+9w6qQHGD70c/YU9OaFmY8TDDoJBl0YjiA9h+3hvM9T6Z6VVRt5opS2je5eppVNry7rSEnaF31kHAhi+oLUcy62no595bB3bZxKFsCEL/+oc0hHfYSuiRcOIVitqyFPuBdwNKj73XAbNSnTNhWCxwW56Xyy5V5+3HcYQX9dKsfVb+scuu4UbTIYcjZMfQY2zm4oQ60sAW1iuOgzeGOqXi9xwG4Se5ZguBWZR23n0JffJeOo7fWULIDDE8Ac8T3Q9opWmfDBL3XlXZSVwzcHLvsG0kPCkjL7wC35er8Ub9ZpZwecUmfH3vCJLqRqWsno3Clw/oeQM6rN/1IDbEW7n3hLdDRXendY44wvZiLoMFHXbIE/1XeqduKgzwMTWVXmIuKUklFX+2rAabD6rdi/I4ZOZCQIEy7qypznd7JnTDVevwNDFMGgQSAogGAqhc9v4DAUSkU3KyrgK18p0xKzGHm21hXvXtzQHcdwBMjM2IlS8OYH91LlTaVm7jVowtbVPVn0Ghz+q7p1tn4NBavrcjx3zlyLEaOQodfoiLesYYSQvxxm/y56leJobP4CzOqGBQ9rkr4HfdSrFFtDrf/poMNQKxdH3ndKWSNZBfklVvovP+buKlbum0bQX//JRVmyV1tJclbP0gpp7XsxZuOVdmFzp8BvdmpzSv7uMrwhE50dJm+J+v+rgi1Rj73p/PAkLH2BejeQ4i26rNT1q+v3dSXBsIsbbqNkG7x1dv18s74yeGki/GbHfqTcbCFsr4Nm4quAWefCQ53gicHwUGf4+quGeTCjIekNtYAYQtESN0FfhCvVgNFX65R8Vy6As16HDtFCUQEjATwhGb+NoDDi/7IwKwW/36Da5yQQDA0aEIIBwSFRXLws/ChKfUFK8/UExYBTIz2eKfz+BF6Y+ThPvPAShcXdCD/V/JWw+Jn6a+1aWj8/bGFp7Clkt5SSkBpZmwarm1ZUE7TdNlzJ1nBLvh4ZRaoTd+QtsOZdeOeZyfjMyFe0KvbC1mI9kvVZgikIlgQxwzO3RyBQBSteo743QRiHnAH/PhzuS4anR0N1GYyY1hmHJ747jsKkPNC0KgrNpWIvbP5SRwF+czcRR+kFa7QCjYdlL0W+saqgrmJ9oLEVbTN5+0JY9bZ+NA14wVsIe08dGF9ZFAV83zAoQZmQ2ZeIk1buZOgzSWecqjH4n/5C5L4Y+lHz+Lu1iaGG7GUJmFFKVwtwdkYKIxNih9rmvpTJtl4deGwAPJgN712ufVkbbs0BGBQU9kGpyJrbDOhXdZke7GX21ba1GvJ2HI3P7yFKzUkMCZKdW9pA+TWXWDcYdwqc+x50O0KbY9xpuu3YO+Hja+HNM2DF6iPZVX5obZAB6P9V4U2H3eXaEyEMF146SZyFq2KcW50OhfUfaeXkr9Tml7fOgm2fp9HZMyjunL4F1evj69hMlILPboZHesDMX8Djg+pCrSOxN85dU7kn8k3SDETMA97m2Iq2GZTvhg0fQYPn+woXzGw8AYiIMG7HYByJWhG6krVr0y9e1vWgIj3mKFOX0AklZ7SewOk6Uk/KJGVp96hb8uGMl2HUlXqU40zSvxHoHsTr1KaCBtsHZu6rYmAwut9tx09S6X1HF/xFQqBKj7JWv0kcvmORNVhSFtyfDg9mwaO99X9Myqrz+VTKwVMfvkZVdQbVfr1Tqv1JtcEO4nRx4depDL9M1+mLhSNBK0dHQuQJEpdHVxUIT0gjhq4NJ4aekLr8f3D9Wrh0Dvx2j36k37ehtjcvr3qZ/+VfT2FVD4q83Vi86xxcW3ZEV+KGcGryr3BRjuGqmTyzZO5SgWdiPq4+pbF2I6CLDIbXLfNXahNKv+TxTQzHbj0W/xsWP60HJ9UldSaSaGTHeGoLpe9J0fPM9jqhaTK2BrbXQTPYtVS7mkTEMJHgp1EWagbSiXMZQ9kOXRvJ4dLZpJIsZTHnDl3fCCylo+DsWbrianMoWKftdU9mFvN+bkXMi84Azu8TYHGwvEH7iRMGUrWs5cz6zqT6ysGZBGe+Dgv/BZvnWLlglcLlrGJor8/JTt/C7sKB7C3pxdVnTodTr4CpV9au/8QQndsgEoddrG9CmX3gn4OsicQavWZoM8v07+H5Y8BbrB/Ra26CV86vc7cKpWgTPDE0emFGgD7OOZydeiGJRmn0TkBRsCfzez/BnuwTSO9lsnPE96RemIfyGkhCkOoFnSi5bhKlG5s2fDdccGtVKT8UPYdq5I4oOBiZcSHJzqaVLG8Kjw/SUV/xkNEHbozT+0OZ8NIk2D6/zrziStYlqKLlx2gKttfBASArVmKgRiKsAMbRF9Azq6OubLh8wr0w4nLI+0yPtAb9ApIaWhripsNA/fphRRVRi4xZmEBmRTrXZ6XwrncflcrkcFcKV3g68+L2KKeLoWe7Y8XThyNGQwUVqNJK9qLPtP337z2gqkDwBzwsyftFbT+H4adq4o0knXYuoGebv/xD6MiyISXbYP2HOhihukybYgLV2lzQdRSc8YquiHrDeh3csGupNtEMPS/6SMlbEr26ag0+IxWJoODCJxwzHVuZXHIBLN7JisBSqvwbUIapIwSBpGN3kbziNeScSVTMyYmp3ENJywW34UFwNKpoO7oHtKqShfrVE2KRkA4X/yf+7Yqhz5tlL8Hyl/Wk8cgrdYBKe8BWtM0g5gymQBIuqqJotKPoQ3caec5F+8CGzsi3BHv88QWP7/CZ3JGUzZlJ9ZO+5IzWyj+cxHT96Lb6zegz4jWx9g533YRSpImdfZaJ0JUErkSIpE+Uw4Xj5PNAYNVMXUbc30hiq63fwLa5dTcDnx9cKTB9LnQ+rK6fyxN/vH+noY37aeb7RuP1pONW5fUUaxB3w3wF1qPG+uBqrWTDFpkSpMtbn9Ph32fw/W/TG3Vdc3m0nd4QJ909o9lW+QMm0Z/Vk5z7cTePkz6TYOXrsfMYONxwQx4kN1HnO1wwcrp+tTdsG21zkPqTNqG4k4VbOZG7OIU/cDLTGEZfOjKSHtzMBCZwSNvKGkKKIz5D3akZke8kE/5av0Iw6O+THtReELfsgJSu9ePqxYChF+iTv/s4/fh+1WIiTs6IoZV5DaOu1uaEUAwX9J6gR5lKwX9+27iSBcBsOOI2fZZbUTNxuOC0pxvKWIMzGTAMXi17jwrVCa+ZitdMIaAS8KsIK118GQD+GMpQiSJw1Vdk9KSBCcjh1vvFcGpTyEl/1yPybd+Da92R9PYcg4PI/tkOXCQ5MiIuaykqC7SidadYqRDDECtqb9LDTVey7R17RNsMRGD45bD0+foznY4E7RVQ2w9hGN0YVq+AxIHjwg7JPLunHG8Ms3yfBAcnZiRGXNZluI5Bn3MH7PgB0nvobEkDp+rlKZ11OOp3D+vHdE9Hneu0Znko434H3z1YX0k6k/T2ajjqd9q2vOVLqKkVldbd8rZAT6iU7Ue696BP/4/9Ycg5kD0Qvv+btitX7NUKY9BUXSFi91LYyxD+VpRHb9dXJEkBRyb8kxzXkvrmg8wsuOseAFJJozRGJdwiCjn/kyCvTHBQVVQXEXXUbXDcH60qrx59DB7qBCgwg4LDNYIeJxxK7qPPQlIloeF0hrjp4O63fzsjCkrphDXfP6yvETOgn4LSu0PHwdBxqD4OSVn6cT93TKuIcUCxJ8Oaib8S3jgdfvxWj2yCfj07ffZbdUEF7Y1qU3Hl5n38r7Qalwg+U+FxCF5T4TaE87I83J6bjtto/SlqpfQM9NwHtHtPzhg48WHtQRHO7uWwc4m2ofY4pk45KQUPZNY59TcVw6V9k6c81njf5vD+dFj2YiR/XkWWayODne+Q41nOgBnDcdzym9o/tjmwkXnBr2Nue6rzHLzKy+65CUhhCj2OEpI71S0v2gT/OjTyaD+5fymD/vYf0o7Yhgiku7oxIOUkEh1pDTu3AGve1UEtoaYiceinl1/Oa5WfbHHsXAdx0lq5DgrW6ln9joMhu31Vz4jKRq+fdd4AfROcDExqISfUA8Q398K394UplAihspFwJesReGaf1pGtYC08Papx00a/KXDhJ3XflVJ86nuPEmLPHBnovMPJksyxzomkGnWueXPugO8eij5BaThh2BUBTn1S23Bbk+ePgx+/adjuTITr10T26Ghv7K+itW20+0mHQTBo2sGjZAH6Jro4OSPpoFeyAMfMgHG3gjtVX7iJGTD5EZj2grYXx3Jl63lc6ylZ0OfGRf/RwQSx5Mj7FEq3130XESa6T8FF7ONjEiRIgFJVwhz/p5ghM0zlu2J7gZgBWPu2s9WVLEQPGDBc2pXu54CtaG0OasTQivawi/UES9CnPQz6TIBbtsOY66Kvu2l29JDblqLHUXrUfHuM0FmARU/X/16qivE35osXgh8/e0Lqk/afUj8qsI66oX5bmbgGTtO22XDEAR2HtI0MBxp7MszmoEYpXWNq5+K6hC9r39MTaEnZOoNZ1HVNKNqsfYxbG1eSHsFFG2VWhqUYmOv/MnLHGHhVXTmJ7lNLSB0qFK/w1IZdGx4/WeevI3n0brbfMp4Rv2ybcLFxv4EVr2pbfKBK3xwdiXDqk3p+4+eArWhtDmq2z9eTZaFZtVRQZ1SrKoy+Hmglndwxdp+WpO9JVuh2BEJ9d6tUJVVNqXgLmJh0NHT4977gDhb4PqbXR7D3pYEUvtkfwxOg4/RVZEzdDEDmxJ2M63YebaECkrLgmmV61J73qfY2OOLGyBOfP1VsRWtz0LFrKcx7VCfFdqXqCK/m0Ht8XdhzW3DaU/BI74Y5cnOPgNzD676bmMQ9owc4cNLH6E+ypKCUYpn3S4IEkETodNUqOl3VsGCko0sZi4OfMJYIvnetQGI6HHWrfv0csRWtzUHF6rfh3Ut0MUHVNH1koTv7hlSz7bWdbAx2pq8jdsayliI1R+dX/fhabUd2JsGYa2H8PfX7eUgmmWTKKWt0my7cHO4cR3ejNwA+vHhVfLW696ntFAf3kOHo1Hhnm/3CVrQ2Bw1mAD66CgKhT9VN9k4UTIfJ6o/WE0wKsrSqhLsS+3KoM7UFJY1OVt/GY/hFhHGuE5jj/wSFaY1wG5JJFpPcp+EICcVz4GzSLtnqX2Ur2jbAVrQ2Bw0F61rGS0AQnEVOgh2CVKN4rPpHnna2r+nvbKMD09znsDmYR7kqp5PRia50Z6Nahxcv3aUn2Y6GBmanuOjk6MGe4I+NJpEBqDQbHzXb7D+2orU5aEjMiK88jdMTNuqNQHXvOsPuLuWjwgyQ3FgqrjYmQRIZ5Kxf1nUQjZd5HZY4ngVVH1FmFgJCMIabWKqjDY3UP2Pi8qMVkQwRmSUia0VkjYiMFZHhIjJPRJaKyEIROdzqe6vVtlREVopIUESyrGWTRWSdiOSJyO9Dtt9bROaLyAYRmSkibqs9wfqeZy3vFbLODKt9nYic1JI7xaZ9kparwzYb04exUgiahsm2e/IbDDEWBGPniz2YcEsCR3vO5KikMxiZOJFsI3qujRzHQRRpcxATb8DCo8BnSqlBwDBgDfAgcLdSajhwl/UdpdRDSqnhVvsM4GulVKGIOIB/AlOAwcD5IjLY2v4DwN+VUv2BIqAm0dl0oEgp1Q/4u9UPa73zgCHAZOAJa/s2P3HOnqXTE8YsXxPFSGk6TFbPX8Pe6wrqtQtQ3liq/4OQNEc2nZ29GJ54AkaEh9c06UBmM+yzSul6X+9dricm8z4nvhJOP2MaVbQikgYcCzwLoJTyKaWK0adzTRaKdGBHhNXPB163Ph8O5CmlNimlfMAbwDQREWA8MMvq9yJwuvV5mvUda/kEq/804A2lVLVSajOQZ23f5idOSme4ekn9dIrxsuGtjVQP9EU86w9ztM1k2IEgyUhhbNJUUo0sBAPBoIujN0d6piKxCqVF4fNb4PXTYNkLOsn2m2fCB+0wB2x7Ih6jVB9gL/C8iAwDFgE3AjcBn4vIw+hTd1zoSiLiQY82a9JX5wKhNS3zgSOAbKBYqdohRb7Vt946SqmAiJRY/XOBeWHbysXmZ0POGJ1aL96S4kF3kPLx5RFzDgjQ03GA61G3MpmOzhznORe/qsbAgaOZOQ72roZFT9U3z/grdAL20dfWpTisKle89zDMe1/7OXfoDuf+AQYf3U6Kl7Ux8ZgOnMBI4F9KqRFABfB74FrgZqVUd+BmrBFvCKcBc5VSNfE5Eavdx2hv7jq1iMhVlv144d69bVNG2aZtOOKGhsnXDRekdKHB2aFQKLeKerY720vlwjbAJQnNVrKgK2xEKuPu98KGj3XmsYWfKm49Er55HXyVuvbbni3w2HRY9OnP08YQj6LNB/KVUvOt77PQivdS4B2r7S0aPrqfR53ZoGY73UO+d0ObGwqADJHao1/TXm8da3k6UBhjW/VQSj2tlBqtlBrdsWMbxlratDpZ/eCCT3T2LUeCVrr9psBl/4O0bvWrPJiZQTZ9sjHi7dkBjGvlygI/JVzJkScjHS5dOeHl2+H53+r8zJF4/rdaGf/caFTRKqV2AdtEpCb1xgRgNVqxHWe1jQfqii6LpFvL3g/Z1A9Af8vDwI1WxB8ovde/BM6y+l0ast4H1nes5V9Y/T8AzrO8EnoD/YEFcf9rm58EvY7TtaVu2gq3FsD570N2Px19NeUfMOhMndnrlsVOfj82hwHiwYDaVxIGnSWBXya2jwoYBwODoxQ7FAOyRioWfRLbnBMMQOF+VMU4WIn3GeIG4FVLQW4CLkcrw0etkaYXuCqk/y+A/yilapPDWTbWXwGfowcSzymlaoKwbwPeEJF7gCXUmSGeBV4WkTz0SPY8a1urRORNtMIPANcrFemBxuanjoieIAvFnaLTI4amSMwglYedAwkqxcJgKfmml+5GIqMcaTiaMSH0c8XTAc56E2adq58aBK08T38BftyoPzfGijlw/MWtLWn7wq6wYGNj02R8FTqfrzJ1wcWEVPjfG4pZ94OvkVLolz4AR55+cN3c7AoLNjY2bY47GQadDoecoZUswIg4w4bGnNJ6crVX2lfMoY2NzUFLSqZwzROKf14VfTLskvvB4Wp8NFuTCnPnIm3zTe4Ewy6Bwy5q6G1yMGCbDmxsbFqUwp2K+06HqvKQiTEDLroHjjqzcSW75h2ram5YvgqnR/vpXjIHjDaOA91f04E9orWxsWlRsroKd/9H8b83YO13kN0NTrgYug1qXMmaAfjwysiVgwOVeoS7/kNttjiYsBWtjY1Ni5OcLky+GiZf3bT19q2PnQrTV35wKlp7MszGxqbdkJAe3b4LOvrPcxDmKbcVrY2NTbshLVfbYaPl4jOcMOKKtpWpJbAVrY2NTbvi7FnQ6VBwJlIbNu1w60CU01+E7IMwha5to7WxsWlXpHSGa5bArmVQth1QupBlt7HgOkiTrNmK1sbGpl3SZZh+/RSwTQc2NjY2rYytaG1sbGxaGVvR2tjY2LQytqK1sbGxaWVsRWtjY2PTytheBzY2Ni1CdRnMOk/nqUVB92PgrDcg5SCM5Gpp7BGtjY3NfmOa8EhPyPsETL9ODrP1S3ikh66C+3PHVrQ2Njb7zaInwVvUsD1YDe9d3vbytDdsRWtjY7PfrHs/+rI1s9pOjvaKrWhtbGz2nxiapMaU8HPGVrQ2Njb7zWEXRV9mOKNn4/q5YCtaGxub/WbwmSBRfJgOu0SXhf85YytaGxub/caZCBfP1om5Q8k9Ek57+sDI1J6w/WhtbGxahN7Hw22FsOZdKNkGg8+ADoMOtFTtA1vR2tjYtBjuFBh28YGWov1hmw5sbGxsWpm4FK2IZIjILBFZKyJrRGSsiAwXkXkislREForI4SH9j7faV4nI1yHtk0VknYjkicjvQ9p7i8h8EdkgIjNFxG21J1jf86zlvULWmWG1rxORk1piZ9jY2Ni0BvGOaB8FPlNKDQKGAWuAB4G7lVLDgbus74hIBvAEMFUpNQQ422p3AP8EpgCDgfNFZLC1/QeAvyul+gNFwHSrfTpQpJTqB/zd6oe13nnAEGAy8IS1fRsbG5t2R6OKVkTSgGOBZwGUUj6lVDGggDSrWzqww/p8AfCOUupHq/8eq/1wIE8ptUkp5QPeAKaJiADjgZr4kReBmqrt06zvWMsnWP2nAW8opaqVUpuBPGv7NjY2Nu2OeEa0fYC9wPMiskREnhGRZOAm4CER2QY8DMyw+g8AMkXkKxFZJCKXWO25wLaQ7eZbbdlAsVIqENZebx1reYnVP9q2bGxsbNod8XgdOIGRwA1Kqfki8ijwe/Qo9mal1Nsicg56xDvR6j8KmAAkAd+LyDxqCwfXQ8Vop5nr1CIiVwFXWV/LRWRd5L8YkQ5AQRP6tzbtSR5blui0J3lsWaLTVHl67s+PxaNo84F8pdR86/sstKI9GrjRansLeCakf4FSqgKoEJFv0HbdfKB7yHa7oc0NBUCGiDitUWtNOyHr5IuIE63cC2Nsqx5KqaeBZrlLi8hCpdTo5qzbGrQneWxZotOe5LFliU5by9Oo6UAptQvYJiIDraYJwGq0YjvOahsPbLA+vw8cIyJOEfEAR6Anz34A+lseBm70ZNYHSikFfAmcZa1/qbUNgA+s71jLv7D6fwCcZ3kl9Ab6Awua/O9tbGxs2oB4AxZuAF61FOQm4HK0MnzUGml6sR7RlVJrROQzYDlgAs8opVYCiMivgM8BB/CcUmqVtf3bgDdE5B5gCdbEm/X+sojkoUey51m/sUpE3kQr/ABwvVIq2Mx9YGNjY9OqiB4g2oQjIldZpod2QXuSx5YlOu1JHluW6LS1PLaitbGxsWll7BBcGxsbm9ZGKXXQv4DngD3AygjLfot2/eoQ0nY8sBRYBXwd0j4ZWIcOgPh9SHtvYD56wm8m4LbaE6zvedbyXiHylAPV1vZOiiYPcKsly1JgJRAEslpKnpB9s8tqr5UngizpwIfAMmvfXB7ym5dav7cBuDSkfRSwwtr2P6h7SsoCZlv9ZwOZIbLss/ovB0ZGkSUTeNfqswAY2hbHCfgTsD3kmJwcsv0Z4fuwlY/Ty5FkQfuSf2nJ/njY+R738bDaxepXezxCZMkPOebvRpFlErDI+s1FwPiWlCXkOJVax2kD+lyMeJzQgUs1bcuAX7T0eRPrXIiqow60kmwhRXusdYKsDGvvjp5820rdBZyBnkTrYX3vZL07gI3oAA23dZAGW8veBM6zPj8JXGt9vg540vp8HjDT+nwxsB6trHpb23VEkidM3tPQnhUtJo+1b84EqqwTp0aenhH2ze3AA9bnjugJSDf6wthkvWdan2sujgXAWPRF8ikwxWp/sOZkRrsDPmDJcgNQZvU/0jqBIx2nh4A/Wp8HAXPa6DjdDfw2wrEZbP1W6D50tPJxKgRujSBLMtq98hoaKtq4j4f1+WSrX+jxOBY9GPGFHPMi4A8RZBkB5FifhwLbW1IWq/0UtNJfQ935d3+U4+QBnNbnrugbhrOFz5uI50JMHXWglWRLvdCjgnBFOwvtw7uFugv4OuCeCOuPBT4P+T7Degna19cZ3g+tHMZan51WP7HWe6BGnpq/T5/TAAAE5UlEQVR+keQJk+E14MpWkOcBYFfItj4Hvoiwb2ag81SIdQLloc1L5wNPhaz/lNXWFVgb0l7bD32n7xpywq+zPr8KbAtZZx3wUQRZPgaODum3EejcBsfpGSJfwDOAGWH7cGwrH6c84LEY5/xlhCjaZh6Pp4Dzw45HV/QNsTCkfSHwSiPXoKCfVhJaWJbzrfNmZUi/WZGOU5g8vYHd1j5u6fOmwbkQS5afrI1WRKai767Lwha1VYjwzrBtTYsiT428HvSjzdutIE8XwB+yLQOoiiDL48AhaB/pFcCNSikzhiy51ufwdoDOSqmdliw7gU5We7gsXqAsgizLgDMArMxwPdGBKa19nNKAX4nIchF5TkQyw7cRYR+01nEqBc6NIEs0mnM8oskfSZaTG5HlTGCJUqq6hWVpynFCRI4QkVXoc/gaax8f0BQAP0lFaymtO9BZxcKpCRE+BW2T+4OIDKB1Q4QdaKURSZ4aTgPmKqUKm7jtJslj7Zth6KQ+4ZyEtm3lAMOBx62kQvsVCh1GuCy90I9r4dyPviEuRY+ulqB9pls7lPszoC/6/+8E/q8Z22gpedYA10eQJRr7dTwakWUBcF80WURkCHpEfnUbyAIwl8jHCaXUfKUzB44BZohIYhO33ZzzJuZ/+0kqWvQB6A0sE5Et6JHQYhHpgr77fKaUqlBKFQBxhwiHtRO6ToQQ4a4h2+qPjq2OJE8N5wGvh3xvSXl2AjXVnPpa7Q9GkOVydOY1pZTKAzaj7aPRZMm3Poe3A+wWka6WLDW2MiLIkgy8Ei6LUqpUKXW50mk4L0HbjDe38H4JP07dgDVKqaA1kv83dVnhYu2D1jhOoM+Z/AiyRKM5xyOa/OGyZKKfyBrIIiLd0JNllyilNraCLJGO0/oox6kWpdQaoAJtO27p86bRFADhwvwkXkSw0YYs20Kd7e8QYA56ZOtBz/QPtb5vQivoGmP5EGudt6hvLL/O+nw99Y3lb1qfh6An3GomWTYRYiwnzEYbcgCTQ9paUp5J1J9kqZUnbN/8C/iT9bkzela3A3pCZDP6Ysu0Ptd4RvyAnriomfComf19iPoTHg9any+n/mTYgijHKYO62d8rgZdaYb9EOk65IfLcjE7HWdM3dAJkE/pJpTWP09aQ41QrS4h8l9FwMqypx+MU6k9ALbDah6Enw2qO+Y8hxzx0v2RY//nMCNddS8mShX5UX03d+XdIlOPUmzp7a0+0AuzQwscp4rkQUz8daAXZEi/0SHAn2qaUD0wPW76F+ortVuugrQRuCmk/GT0LvRG4I6S9D/rRKc86KAlWe6L1Pc9a3idEnjL044QfndQ8ljyXEXYRtZQ8IfsmiH703oU1+xtBueUA/0HbtlYCF4X0u8Labh713b5GW303om28NS482egb2gbrPSuCLPnA6CiyjLXWXQu8g+Xl0NrHCe1StQLtXvQB1qSN1f8O6zfXhe3D1jpOc2LIsgV9cy639uPgph4Pq13QCfk3Wr81OkSWgPXaDXwXSRbgTvSocWnIq1NLyRJynGpyYAfQ7l4RjxPak2SVJcdi4PSWPm9inQvRXnZkmI2NjU0r81O10drY2Ni0G2xFa2NjY9PK2IrWxsbGppWxFa2NjY1NK2MrWhsbG5tWxla0NjY2Nq2MrWhtbGxsWhlb0drY2Ni0Mv8Pb8+9Tt4urZ4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "listings.assign(labels=clusterer.labels_).plot('labels', k=nclusters, cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Areal clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Areal clusters are usually slightly harder to identify, since we might mean *two* things when we say \"areal cluster.\" \n",
    "\n",
    "The first sense refers to *clusters in data* that can be visualized, kind of like what we were talking about in `sds2-visualization.ipynb`. \n",
    "\n",
    "The second sense refers to *contiguous areas of similarity* in data, which require slightly different approaches to discover. \n",
    "\n",
    "We'll tackle the first sense first at the neighbourhood level:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "district = gpd.read_file('./data/berlin-districts.geojson').to_crs(epsg=3857)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f272bf4eb70>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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djpFzDNZt5sTj8w/hcpSauPXe6nlfr/LqQ51pvsaJeKKc+s6FeV3rveSn92wCy7p60GZ/K8RuqeE/n3aTTTAFcPeuKnzHvIw0eVASklggKVymUgOO3cUElptwbnfmPeaoL46xIHfb4FCLj8otRYg83+ld7Ua0VVXE9w9wz675Fyne9vYl6PTqx+xmIqf/phDCIYR4SgjRKoRoEUJsF0JsEEIcFkKcE0L8SghRmGpbLIR4WQjhF0J8d0Y/t6badwohviNSuXVCiCIhxB4hREfqtzN1XKTadQohzgohNk/p66FU+w4hxEOL95K8doiH4uz7mxNEPHPv2zMXUpF07x0nbCqjYOXcFXcKPRPY7XMLlgC276hgeN84iejVpbS5xoR1VxFtE2FO7h9mqMtPa7sXY1H+YTj52hUvHh5nyY6SvK4ZavETNZSAhKUuL0uq5xfutHpr2byuU3n1kuvy/NvAb6WUDwghDIAF2AN8Vkq5VwjxUeCvgC8B4dTvdamfqTwMfBw4AvwGeDPwHPB54EUp5d8LIT6fevw54C1AY+pna+r6rUKIIuArwBaSexycFEI8I6W8duV1XmW4O7w8dd/zhLNsdJaNpTutoNMzcCaAf2LuXOxQ7wTv3VbCoy+GiE0xZ1osWhRFYrUbWGW24Dk4/d9g313M6QPDyH7/tON+VxTfahMmfwytRYdtnY2QlGiEQKsRCEAjJcQlMqygxBQsFi1xf4ze837y2ZEsXweUVMA7lBT9qCfC25aZ+fdxDaFwnjbVW69d8RKVG0NW0UzNIHcDHwaQUkaBqBBiJbAv1WwP8DzwJSllADgghGiY0U8lUCilPJx6/BjwLpKi+U7gDamm/wG8QlI03wk8JpMJ8kdSM97KVNs9UkpXqq89JAX48bxfgdcoUV9swYJpX2ol0DqY/NugQRcMks21E2wb48G3VvKjZ7xUV5u5Z52JcLsb3fpqhgcUho7N/t4KnZugwGnAnybcp7dlguIaC56hEMsSFjqOzF0xfuddpRhaPWzabMOvNdJxPDcHj7s/3ywpSWT0akxnsMvDQ3eV8a/Pu0jkqJsmowbNZQ9sVIXzZiKX5fkyYBR4VAhxWgjxiBCiAGgG3pFq8x4gW2JtNdA35XFf6hhAuZRyECD1u2zKNb1prsl0/HVD2cZiqncubOlXVDslrS+hEPfmJixiZILaWjP3LBEEzoySCMUxh0NpBRMg6o6xakXmjJvxviCJuMy6gZvBrEXXlrzHxEUfTmfuts3x7iAmR+5pjBUrzERnVHsKnR3hQ2/NfRO0B+4p5tCnX2L8XP77Lam8eslFNHXAZuBhKeUmIEBy+fxR4JNCiJOADcg27Um3lsq2Zsp0TU59CSE+LoQ4IYQ4MTq6UL/tqwuhEbzp33ZhLpl/9fG4a+64xdk3FdgaSzDWl7BljZVA99Xrfe0uDObMbyf3YTe37EwvOGVLC1i22UnPmbkzhdZuKUKZEiWg+PObaduX5L61cE1DelurPD3IXTvmdgytWlHAR95Wiv58clvhtkebcx+kyqueXESzD+iTUh5NPX4K2CylbJVS3ielvJXksjhbOkofUDPlcQ0wkPp7OLXsnlzGj0y5ZkmaazIdn4aU8odSyi1Syi2lpTffNqkF5WZ2fGXTvK/XGPMrIGFdVcnouQlG9g2hOTM47VwiFKdx29xpiJETXpZvmi44q3aVMtoToOtUdnO0Y2L6TFhjzW/8JmfuTidDPHPg/nK3Z5ZjqLLCyAffWsqf7bCwNeBFOT2IkkoW6P7VRUKjeYZ2qbxqySqaUsohoDdlwwS4G7gghCgDEEJogC8C38/SzyDgE0JsS3nNHwSeTp1+Bpj0gD804/iDKS/6NsCb6ud54D4hhDPlab8vdew1g5QSz8UJmv+9gyNfbyIRyS+WcJLVf7ic5e+ozbl9yTo79Ttt1G7QER7Iz2+mT80kpSLTrhGME14sjsxL5kRYQZz1sWZ70pO9encZrftHkTnYCDfuKiHeNT1Gc/zoCKu2554D333SRUFp9pm53qTBfzHzaxObiPLWMoWPva2UB+8v5c/udXCfLoDuzCDBntmzdyWq0PGTlpzHqfLqJqcixEKIjcAjgAHoAj5CUvQ+mWry38DfpBw2CCG6gcJUew9wn5TyghBiC/DvgJmkA+jTUkophCgGngRqgcvAe6SUrpS4fpekkycIfERKeSJ1j48CX0jd/xtSykfneg6vpiLESkLhhU8cpu2JS1eOlW0qYuV7lrL6g8sx5lk7Mh6K8+wH93L5pauzv8rbkrGJYW8cJGj1ArNThzI+TnR4fpXPNQYtitFKeDS97VOj1xCvKaf90Nz9SyQl95Rx7MXBOdtNUt1oY5nbD2mygZxrHIwGNPScze05FZabKK42MXg6sylg1R02dD2Luxe6aYmNd774AHp1j/NXJfkUIVYrt98ADn+9iRPfSm/nKlptZ/X7l1G0ykHdPVU5b7ylJBSOfOMMJ//pPMVr7GiH+7JfNA+cm2sYPDQ7Q6aw0cmAy0Bf8+wqQumQSBy7Szi1f3jOdkaLlu11RhJ9mfs1Og20XJY5zVgnqb3VScIXY7zDP+vczvvNeM/OPa58UBorOH0+znv//01s+0D9ovWrsnjkI5pqqsJ1pm//ECf/+XzG864WLwe/fJpf/cHLPLb5aY7/47mcNkjTaDXs+PImNn9mDa7WCUy11ybMxX9xFKGdLeRRbxiDOfe4SYHAu2+cLTvK5vxi2Hqbc07BBLAtt+clmACXT7oZ6PBTd2fptGyhpZsKFk8wbUaGa+t45cUA3qEIL31ven0AKSWhiRjBBSQnqFx/1JnmdaT/4DDPPbSP0Fh+Fcjr31TNzq9uomhVdvtdxBvlh3VPotEJKjY7YWwk51CiXLGtqWL01OwwGktlAaebRN4C5rjVzplmN/FUBpHOoMFWZGDZShvmkyNZi4kUbCrj7Cvzy2to3GKnyCq5cMyPjEtuvV0SuJxnVMEMpITEqmpOngwTmBGbWrvJScgbJeiJEfTEruzd7qwx07izlO0fqmftfRVq6uV1Rt0j6FWElBJ3xwQnvtVM25OXsl+Qhu7n++k/OMwtf7SSqu2lVO8ox2BL7zn2XEx+4JW4ZOCYi6rby9BpRom7F897K6OzRV9n0TGWsCKV3JbnU4lcCrHzrkp0/hDRCy6IJyAQglOhrEk/jpV2zh3NLcA9HXanFtfpUYTQc+ubbfibFmjWMOoYKK6ibU96Eb98Ov1xd1+IY09c5tgTlyksM3L7++vY+WA9tZucC97JU2VxUWea15CeFwbY82eHCI3mX3dyLvRWHQ3vqGXn320mNB6h/alurNUWyjcVc/HZXo5/c/oOi0a7HrvRQ86pLFmQEixLy3G3zhCA5VW0HpigqMZI40oQBh0en5ZISGGkK0zAPTvfqPKOErqOjJOISRzVZpYUxokM5Cbw1iUFdPQqBL25laibyeodDpRLbuLBOCU7ylFae+Zdk3SS/qpa2o4sXjZv5apCtn2wjvu/sAZNjvZtlfxRZ5o3kMGjoxz5ehNRf4yRJlf28P15EPPHaflpF13P9lGyzkH/wauOGcfy2bGSEW8MzeYahHuERC6V2bMgdBr01tkfYMPYGBvvKyXRPYr3wtVlaUGBHkT6iugajSARS75Inv4QSsJEfa2N8OXs3nCD00iwOf9IAL1RsOFOJ+5jw8nIApMWg8dFaIGCSZltUQUTYLB1gl986RznfjvIQz+4jeq1ue9lpHJtUA0ni4xUJH37hxk5fW0EcyoRb3SaYJaud+K5mF5Ehk650ZSXL8p9C1ZUEooYcayYbmONeqOEz/UT802345lWlBFwpZ8NjpxyYbJd/e6eGArT2ZfAvDJ72bhEML8ZpsGkYfM9Rays0eA+Onzl/1Oz1UGof2F2TIAJx/xLyGWj8+AYX938PC9+ryMnx6DKtUMVzWtA8Zr0Dpv6N1VTtvnaFW+IBePoLOkXD5YyEwb9/JaxM/G39BPyxDFXpp89TsXgMHJu7+ywnkli/gS1m6YLZNAd4+xxP5aNc+fWey9O0Hh79pnXpFiuqBZ4jw8TGrs623asseM5u/CYzKEltZx4Yf7V3XMhHlX4yadO8vj/OL2gbUNUFoYqmotM1fYy1n2k8cpjnVnL2ocaeN/++3n7E3dx78M7rtm9PZ0+yjZcne2Yiows3e1g6XYrNjFO4EL+4mBeWsLMiY113RK0ekHbb8awb6pGa86czqirKyESmDvbydvum1UkWEpo2uvGeGvlrPtfbQRO89zicdtOK/X2+CyxnKR1XJBYsbBaL1Kn4cLB61eV8IXvtPPoR4+qM84bhGrTvAYsu38JwZEwtW+spGiVHZPzauqec0UhFbeVMHT82lS+mfwglW10YNaFCZzvzXJFFgqsFNxiRfF6iYz4MDdWM34pwsTlpJe898AYlnILJRstuJsGpzm7TWVmzr6UedkrtFC5tZix/nDGMKVzL43RuLMc0TKS1kkT7AsgNMy63mDWsPI2O6GBCRLh9KItJQy2+1m2dH7bEV95HjfAQXPwP7opXW7lHV+aWbJW5VqjiuY1wFplYdvfbkh7TghB/Zuqr5loKqlYR0tBgmDr/Co7aW1GRFkFerNASujZN46z0YY0mxhOs8FYcDjM5eEwhXVF2JYYcXnDKDotYUcBRnuCeELB5QpTVmoGwFlgJDEcY7w7QPvBuetnAnQcdLFsayn6S+PIGTn6iWgCW7GeidGr1Y80Wtiwy4Hr6NxB6oYlBei74hjDC3SORRNYHHqCnvT7NBXXGlm5JU5d4wgrl5/ih//0dgZaF+6Qe/p/nmftfZUs36rW67yeqKJ5AzA68t/iIVeGT49Tss7B4PkgJavr0fjcRAZzj2PUWo34Ew58x6aLozuHDc0megIM2o3sPTw5u5y+ZL3clhzHG+6ooe9k9uVs3e4SwpE4BoOWhBDoN1ViGpkg3HV19hqdiFFpkTTeW8zZfW5iEUlRlQn38bk3QxNGLZejenbu0EHHUNaxZCM0kd5evHRXIf/fp76BxXA1wWD9HW9goDW/Ck3pkIrkp58+yReP3qvGcl5HVJvmDSDfjJn8OgdPtx/Hchv9h8fpbVYwL8utLJ6hzEbEXIKvd36B8PYNRexNk5c+k8RE9opOliID54+O0npsnLMHRmjaP8yR3w3Qhx5d/fSwqngwjufYMI2VcPtddho2WK9k2qRDGDRM1BUx1OFHM7hwW6TUp6/sVLysgBf6h/jarx+cdnzFyvYF33OSS8ddnH0pKfqqjfP6oIrmDcDXm9mbvBjE/XGGT49jKk7aUvvPxbLuNin0GoYuaXG1zi/0RmfRsfdSDjGTElyd2Z+/VCRKmi+Xi01uTlwMY1heiJxhS4y4o4yfGkNxZU4b1Zh1uKqddB53ozdrkb78UlrTIfRalm2yX0n3NNp09K+K8tO+djr63PznE35+eeHtV9ovqThH4zYT9goDBkvu1efT4dhSwBf//CU+8+7fcF/DYzzyDycX1J9KdtTl+Q1gvGX+aX85o4Cl1ER4PEI8nEC3fglycJBEMH1xCGOlk/jQ/AtHKOscDLyUfZlb31BIpD37Hu0hT4xlmx10nJ5tQ40EEuw/7cdWbGTDMiOxzhmvZ4YJl8aiY6S4kN6mZPuKZRaEb+5q8TkRjFIb6EW3NZkNVLTBytPHeqY1+etvFbHqH9eyqvg8TutlPve5rwEQT+hp7bmH40c2crFJz1BHdlun1iywbbHSM+Hj+JnLAHS3J5/HY//ShLXQwM57a1myXA2EvxaoM83rzNDxUS6/MKvI/DVhal3OgWMuRGVlxrbCNnfV9bkQWkHvaG4ztvLS7LGdkxRY5rb7+cajHGsJoq++2mfRWjvjLbOFUGPTM+wspLf56ky6qHThdsVJhICq/stsfnMx0jt7ihwMxPnEt3cRjE1//jptjHXLnuMjH/jffPHv/oW//s5xHJWzbd4SSeEaC7o7TZw1etlzpJv2C7OdaO6xMN/4zD5+/H/OLNpzU5mOKprXmd69Q+gKFrYkyxX/WJj63Q7qtphYeqcD4c7ssR9ty7/QxiQyIanp8fP+O8vR6eZ2SFhE7s+958AYRZXmjOdLlxawZJ0D0eig4rYSTMVGXOe9s2YedTVBAAAgAElEQVSauiIjfaYC+i5MNz0UGLLbAKUEqp2IisKsCV4Js5afdffw7HB32vPtbT4+9+SDGeNOTcYJVix5mT/5233c9nb9lUwpxx02hlfEebGjl8OH+gkGss/U9/0m/RhUFo66PL+OhN0Rzv6wDa1BS9n6IoabxkmErp1XyG83IaMRLJfmDj0qWFnByKH5iyYkbZDek+P83hsq+PkLmSuyh0bysyHWLLfhGpxuo7QWG6lZWUjPMRferhDeMiOrSiE2nqb6UpmZroie8Uuz7aiGeBZzhM3EkL2MlkNJZ5HR6qSqsYCiYi1WEUfrCyCHvIiU0+nC8kK6XuyZq0d+8cwEFcUf47P3/BijLv39G6v30fjRfXS/+U5e+flbCQmFuKOAUUOAcDS3bVFUn9C1QxXN68jp77YQHEnarAYOj1K0yo4SUzLmiy+UXlecW+yZbWTGMhva8iKGcqy2nguBI6O879YiAnYjB06P4566N7sEb19SAAsrTTjrLAye8xKdI2Mo4Zt9rnRpAV1T4jsnRiI0R/WsqyogNnD1uegrLHT4tbj700cDaGKZZ2z2DRW0esy07L86O4/441w67WVqgT+t3kZJrYWSSiNaTYzbN1RyscfNuCfz6/7wo2HgQ/ztm3+UsU0sbuaVf7uTkebk/auAD5WX01amsO9MdtuxZzxMOBTHZFY/4ouN+opeR/wzSp65WpMOiclc9fELi+CUmEQn0GqhqF6Lb0aJSH1RAXpnAV63Dvcri58vPdGWXAbfYdJiuqeS546M4vfHqWqwUVRbiBhOMDocYvDIOHqjhvrbi9BrBUPNXpR4coqkxBUSMUkszV7o6YQg6IkxtsxBoQwgBOirLLS5NXiHMnvS42bTrA+A3qpHW1fOyd9OIGWQ9XeW0nxw7Mq4ZpKISYYvBhi+GECjBewKFV4LqyuLKaoxI82C7lEP59pGp9UGffjRMNtW3M3dy16c1aeUsOe//pyR5uljDw6HqR0VfGL7cnqVKM8e6yVTZFXQH8PrCmOqtmZ8/irzQxXN60TUF6M/w344k2JZusGJrz9IOM/K7mnZWEqDw88S/2HG37AbV5OLmCeEZUUF3YcDwOJWc09HIpwgcGSU+3aUcX48SrQjTFf7OBoNV8KJYhGFjmPps4LW7SpFa9JAyjNcvaYQnUFDLMPMtOuUh9vX2UBKLgwp+Mfn9kQHpY7CKY8LG4u42KHB87urtk/3gTFWr7AyHEww1jN3/KoE1qwoYcQfoqfFg3uKWeH+jcsZSPg5feHqe+DP/6GWX39zOfX26btfN536MM2/yJD6qUi8R90UAn/SWEusQo9fUQjFEwx6Q2woLeSCy8/B5mG62z2Uq6K56KhFiK8TiWiCRxqeIjoxtxG/sK6AiZ55LpeFACnRlpnoLzTwviWvJA8hiNbcSm8TuMeM+AeuvWCaSkwYl9vp6g5zud1P1hLsGdDqBVEUGreW0HUge8rl1ruLaLsQxDOYPXRn5TYn1QPJkJ3CTdWc+o0vY+KB1qTBsrmIC/tzSE3VgP4WE13NswPna1bbiTkU9p64TEKRrFhp45d/+ziFxuSqo63993jmq40LKoYsNALDDge1D1Tz7j+9Zd79vJ5QixC/CtEatDgbCxk+OfcH3z/HcjLrPdY6SbS5oczCuiV+RGrCKpAY+05Q2rCF/pZFmMVmwXhrGUf3ulAuTj7X+af4Ga061t5Rim84TPkKG97BEGFf5hJ3Wr1kV7Ub/eZCFL2OOFoicQ1jLoXTh6Y7g8b6w6xa4WTUbaTj13PblRNhBd+hMdZvcTIwGpl71qmANaRFoxGzSrj1pWJ0t5ZWUrqqgDM9I3z+iQ/wfx98mPaOd/Grry1MMCE5G40ccNPfHiTywVUYM2yNojI/VNG8BgwcGaFq2+xakJbyzOEzkMxJj0xkDzAXJg2aEjNCrwG9BumKkBgLgyeCsqGUrr4wf1DbNes6Z/Q8gSU7KfIFF30LjkmKNpfw4kuLYyctX2Ej7I1y9lfT41otDj2FFSYKy0y075s+84slIOoKE3VdfX4aoH6Zk9Mz+lcScOqVOJCbRxrAfdpD9fbirEt1d3uAW+4o48zh9CYZ72gY72gYq9BCeRG/fumztPxIs2DBnEpwJELns/2sfV/9ovWpkmOcphDCIYR4SgjRKoRoEUJsF0JsEEIcFkKcE0L8SghROKX93wghOoUQbUKIN005/ubUsU4hxOenHF8qhDgqhOgQQjwhhDCkjhtTjztT5+uz3eNGo8QVfvUHL8/aRE1JKLg75k5RjHiimIuMVO0ow1JhmnVeSghsKmPfqOSVliAvn/Xz8skJ9vfFuLzEzlmv5ORxNwOdPqyhNDngNhutpydo9Wmwr1j8bBGNQUNz5+LMZOtvK8LVG8A7PLu/oCfGUKuPRHz2WtqfwbIhE5Jla60YTFff8t7hMBrdPEKVY7kJmzGHj5eUcPG4i97zJYsqmJN4uxcvMkIlSa4zzW8Dv5VSPpASNAuwB/islHKvEOKjwF8BXxJCrAHeB6wlGSnxghBiRaqf7wH3An3AcSHEM1LKC8A3gX+WUv5MCPF94GPAw6nfbillgxDifal27810Dyll7lOGa8ToWRfRiRgvfOIQPS8O4Fhmw1ZTgKfLhyeLaAKExiKExpKCV765mKg/hrs9eZ12Uwmn9s22qSViCj0zArejegvG+PTZkF+XLNzhGo5y0BNj965SXMfnVz4uHbZNpQz/LrvdMRsrdpfOmkHOpGaFld40Ozv6M2yyprFasZ/y4DALChotGErNeGKC4GAU/6X8CpSEMmihRgv1W4oYbvcRcMdI5LGOax30s7BSyOmx1ViuQa+vb7L+W1MzyN3AhwGklFEgKoRYCexLNdsDPA98CXgn8DMpZQS4JIToBG5PteuUUnal+v0Z8E4hRAvwRuADqTb/AfxPkqL5ztTfAE8B3xXJGliZ7nE4/5dgcel9JRlDp8QlbU/Mb8veSYZPJQWo5BYnSNjfnbu9M2QomiWafSNXU/hiEcmLL7jYelcZ2t6JBS/XjU4DRw8tPGSqYWdJVsGsXl5AkS9C7TobJ8/5iIQnZ5yS5cvMaHqMKP7pM1Qpkm91qUj8lwOQKqJcVGai9m4nroEoQy25zcrCGbz3y7eX0HFgDCGgdpOD7v7cC7O0dXipt1uJ+RdnS5JJanfPvWWISv7k8l24DBgFHhVCbABOAn8ONAPvAJ4G3gMsSbWvBo5Mub4vdQygd8bxrUAx4JFSxtO0r568RkoZF0J4U+3nuscNpWmvC/vt5cR6JggOL46Xeuxcckbll7kb9P3Cxsx65JcuaoCpS1rB0ZddCA3UNtqxFerQ6QRanUAjBEqBIBFNoNWAVgg0gEYkbToCEIq88jtqM1J4OYwllCDmSxD2xokF4+Q79794eJyGHcV0Hko/Y62os1AaiRF0RQm7omxaY0dXqEdGFSKuCAO/G2bVHXYi/unmCYtDwbG0AM+l6cIYHAlfSThYcZuDuN7ApcMupMzsvCp0TP8/6E0aKlcX0nEgGYguJVw+7SFRl/vSX0qwNVhxNS38i8dcZKBqgw2/JsY3P3uIHW+p5fZ7qymrUcOPFoNcRFMHbAY+LaU8KoT4NvB54KPAd4QQXwaeASY9GOnebZL09lM5R/u5+prrmisIIT4OfBygtrY2zSWLS8gb5dyzQygJiUYLa7aXUaDEcJ9fnP1jzDY94RxmIhqtoCg2O5Xxrh1uyisdOJ0J7AUxDh8x09KkIBXoSZN7XntnEUcPLKxA77qdZYwd9CJy9KBLRdJ5aJzGXaV0zAjvqaizUKHECU4pDuK6MLtilGKcXRTEovWyzNlOdPUaWl9JEA/OVnNXqtDH8g2FRLQGek+mr0Y1OZPUGbQIbXIb4u4Ts51fDRV2hnoDOQcPRBdYk6B0TSGOUkGgbZjgWQ9nlhVz/HcD7P1FNwD1axzcfk8NW++rYeOuSkwZNuFTmZtcXrU+oE9KeTT1+Cng81LKLwH3AaRslvdPab9kyvU1wKT7M93xMcAhhNClZptT20/21SeE0AF2wJXlHleQUv4Q+CEk4zRzeK4Lou2FYZSUMV9JQPOBpFhWNdqpqzfiOTuecb+aXHCWGacFTGfirvstWKKzZyyGvjY26gF/8qdu2VZamjL3Extb+FKx+cgIW3ZX0r8v9y8OIUh9BUocpSYSMQV7sYGSWJxgDrnr3lGFmZY8TcSPlBLj4HnW7ayh9ZSd8PjsSAWhE1hKTXgOj7Dm7jI6DnuJBWc4nPxxLp/OPiPsOermtp0VHD+S2xfP4ESUXGpNFZQZMdj0eHsCaHSCyo0ODIkggYtD+FPO+li5hRNHp3/pdF/w0H3Bw5PfacZg1LJ+Zzm33VPN7ffU0LChGM0N2OvotUhW0ZRSDgkheoUQK6WUbcDdwAUhRJmUckQIoQG+CHw/dckzwE+FEP9E0knTCBwj+X3bKIRYCvSTdOR8QEophRAvAw8APwMeIrnkn+zrIZK2ygeAl1LtM93jhjJwLv3MZKAjyEBHkAK7gbW324n1egnkIH5T0ZabCGWYZeqNGm7ZZiUWhY1Lx6n370vbbiYHXpj7/OD5CUqqzYwtIHYU4NThIdatL2H0bPYce0eVGVuZkY4Do4CgYY2NiSOj0BclV3fNSPMEy1aYUHxX7bQJ99WZoHasj7UbQvg1NbS9EGDqVLBiSwkDh5NL+5GjI5TY9WhXFNLXdNXRFriYu63S2xzktm0VdF30Mj4SmnPWeaHdzTaNPmPV+eKVNpxl4D8/jPCAuTgZohTv8BMHpu540VVkRcrM44xGEpx4aYATLw3w8BeO4yg1cetdVSxb66RmuZ3q5YUsabRjtV+7rVleq+Q6P/808JOU57wL+AjwoBDik6nz/w08CiClPC+EeBK4AMSBT056tYUQnyLpMNIC/yalPJ+6/nPAz4QQXwdOA5OVDH4E/Djl6HGRFNo573EjiWWZRQa8cY7tGQckK7aUUGRScJ3LEtNo0qCrK+TEpTC+8fQfgg+/e4LKwPHUTch5OWi2gj+LQ7+qxrZg0VQUyeVRH2VVRnwDmWeKK3aXcvHwGJ4pGUsXW300Nljx5FDtfRKpSPTVZURak9k+CJDB0DRRsZRZCTe1seUt5XS3Wxm7GKX81mIGj8yI+/TFgAkadjnp3O8CBDFfnLLlVkZyEM+QN0booBcLUGSzYS0zYq0w0j3ko7d7+ovvD8SxrXAw0TW93+KVNpyl4L8wTGDsqjjKNCFXAFLA/gwpu5nwjIZ58ckuZmbCF5WbufNd9Xz4bzdTUql64kFNo1xUvvemvbT+Lj8bYFWjhbqlJnwtrrQplm1FVkaypFV+6AMxlgbO5nVfgH1j2zixf+7SdLpGA71d89sCYyZbd1di6o4S9cWxNVgZc0cZbEvOPtOFGa3YaMc8GiKUJhdfb9XN6WluuNvJioYRxMQYwmhEW2Ag4goRvDwOChjq65hoSQqL1mJAqWmgY2+YiDdzmmvprSV0nwkS8sSw7SzhQhYv/1xotILanUWcOjNMwH/1ng/sqsZ9eByTU0/RMisWq4K/eTCvnCopJT+N6AhkSdnNFa1W8NPm91DTcPNWglfTKG8ASkKhJ0PhibmYXLprdFC72klJuQHNRBhPmxddhZnRzuxhMMNBO0vnMWZn0dxfmEIjMJsW7y1y+bKPmmGJElYYP+ZCAMsqTFjrC0ggWb+7lGCXH6HVULzaiv/EGKE0KZObf9+AVe9h3xOzZz7l66ysWDuO3f879PpG/IPThc1caMBYU4Z3yow3EYziH47PKZgAoyfHKCk1YdpaxlD/woL4lYSke9849RVWwtWSi20eDCYtGoeGhp1W/K0jyG5vPguHKwgheMttxTz1Ym5f4PYqE/ZGEy5/mLHxpBGkoECP3WbCJvTcsbv2phbMfFFFc5Hoa/IQyrDvdS4oceg+56f7HICkYrmd4kYrDY4I/e0TBOf4QFdYvEj/dJtWJoTJCM4ihqKV7P3x3KIpFUmgJURppYXRwfx3qBQCahrtVJSZMccg1hMmGp4uNuGRCOE0zh0ZjFO5yg5KaiM6RXL7m1xoCmwU9B+ACKy4+420v5hcyhaUG9n6hkEK/MeSji5Ao8zuVwlFiboChPqvmlKMq5Zz/pe5mSBCo2GoiOM+66F2vYPLZxcWIjQxFMYS0fMHb6lGf2EAcaxnXkI5k6JzI+zeXcG+femF02TTUr7BRr/Hz8mWIZiymt94awVf/l93Ulltw2TSUVGlhipNRRXNReLA9y9mb5QzgqGLQbDqGTzjQSMkS1c4KCgzkJCS8YEgI1PS437ypIHC0p3cf1eApf6mtOKpqahgOF7J754z4BpWMJgE0RwmS0pc0lDrJBJJMOGa+wKdXkPdSjtlRSb0EwrhjgCJtihKW5S55stCSJz1BdjKTeiNGhLBON6eAANHk/beLQ+YqNPuQxuOIEOgX9VIsLWHhoLDDC+5nYgvzo5dXZj8/dP6jfb1oTEVoISne8mFs5zpwRYSoSXnmFLhDSKEwJJjFXWtVuAoN1LgMGCx6jAatWg1YLNJhNuP7PfAqfmJr86iw1BsJtg728nWOObjwIyiIeUrrSSK4fiJfpoPp18Z9fVOsPPOax+i91pFtWkuAlJK/rbiaXx5buUwF7YqE8ZyIz3pQluEpHZrEZ3NbqIz4g2Lq0wsX63HYUsgpSAcFUwE9CSkHndHAO/A/DJ/9CYNzo02zhyf7mCoWmajrtqK3pMg2BZARpI2UkedBU+WohaTNO4uoe9gZvug0a7nzfc3YYylnGZ6PdJSTGzYRdC6lDBOivynZl0nJWgrlxK8ODjtWMRUTWR4usiYl5bTctxMYGxuITRXFxC3FtB3IhlCZd9RTDiUwGjSYjRq0EYliXCCmD9OxBcj6k8QyWBbXLbTibGrN+25dNg2VRBBgzcA4ZBCOKTgdcUZ7otQVm2gqtZIjS2Brzn5Wkq9hsv11cSEpGdwgsJGEz/f05r1PvXLHBw5/0eIXJYuNwmqTfM60/q7oUUVTABrpYnOkxliG6VgvDOQtvbj+ECY8QzCqDNoWLWrhEv7x3IONp8kFlaIRqYLytK1DpzNYaIXPcyMeLRVmXHUFtCdQ/3JbF/cEW+M8wNb2Vz6XGowMXT6OHGDHov/EhbSp6vqK8vxX5we5G+oqWTi/OxZWejSMI0rCuizVzB2MX2lKb3dwGC/QsR39f/iTWUuRQCtUTMlpTM77t4IFTm3hpf2Bgn604v6SH+Ukf4oPaV6dm4oxndhHI3FwKV9yfHpBMS8YWw2Az7f3JW09HrN60ow80UVzUWg5fnMBndrsQFHpYm+5vw80KE0gddTCYxFqV1byMhoEF+Old7jUYXmgyOs3lVK/2F3xi0cZlJcbWLJMhutw8k41NJSI9tvKUKREuVWI8MnZz+34FgErSG3NEKZwzg69/pZ9cFaLJFkGFFibIyCxgb85y9Pb6jVoHcWorVZkKZCYHrsbFxXCBmMBXFfmJKVZsYvxdLGSpoaiom8knlHz0REQWvQkIjmJpyRQBxyDIM0l1sIDsTJZu10j8b49QsxNu2sBJMOWpOiKSVEh+Pcs7uOXxzpmLOPSxc9jP/2JaTbhRIMIXQ6hEaDpsCCee0q9KUlSEVBhiNIRUFfUYbG8PqJ51RFczHwx1m1xYlGJxA6gdAKZOrNHQ/EGW5ys2yLk64TuWfFeLqDVK0pZOBCZrEdPj9BQYmB8jVOxlwhPENhNFrBqm0lDHb5M2YPtRwcZeW2EgYOu2ftWljdaKOyygyx1AdfK3Cd9zJycIzqIgM73liJ9/Q48WPJGWTx1grSRQRqdBpGzi9OqBIAEk41r2FHQy8akRx0pLMTS8q+aaytQGczEuvrAf8Iij8pFI5VlUhzEf6OMTTOIsbOJGeexgoHGqedaMyAb1QyfjGMo9bI0B4X1dsrppkLLEusKIUFXNyXWTCvDDOP8m5RfxyKcmurq7TB6dxjVQM6I20vzS4PWK2z8K6dDQwEA5xvHyMQiKHTaSgpMTM0FAAkj/yxCc8TT0Fitvi7f/nsrGMVf/kpCjasy3lsr3VU0VwEXJ0+Bk/NLYjB7gBrd5UQ8MfpO+8lHp3+4apaZcPhNCD0grbD48RjEnuJcXZu6AwCY1ECY1FKGq3U3FGIbyDM5f0ubCvmDkTuveBl/cpCzGVGpAASkrg/zug5LwMZgrZLlhfgPjb9gyii6e11450+NHqBkmPtyVxQEhA3ODDEkq+1EBDv68ZUZkYZuUxshkYIAcroIDBIQYGemLMWhA/qGml+MQDEUj9Jhs4lv2TGmkao3F7OxHicApsGV5sX77jIuBXG9DHm/nzjEQUpc4t6iGlyz0tvuKOEtn2zBdNcqGfsRRdmBMvRs0xTiX6lEaQkfjFGbGcV92/wsWL8YM73Aoh0dqmiqZIfUwtIZCLkitJ3MDlTsZu1lG22ozFqUcIJXJ0+Au2+K4vGyhozBWvtnM4jUH6sw89YR1LsypZZ2FY4QOwuG7pQGKnTovX5EZE4icICRosrOXM+hm8sgqs99+2DjcRm2S6TGTOzUWKSsrWFjJyfwFqsQ2fS4OmfbXLQ6gW+HPcsWr+xB0N4xpdTPIaSSxB3PIa+/zhlW1bT9Mrczh4lqqAhwWDTBBXrC4n7Y5TUGLFXOeifI+dcaEEo5CSuk2gtepRQ9vGHshf0B8BRbaLzUHo7cvlyK+5TV80VQoH4lO1PlvZHWLWqaXblm7nQajDULsne7iZCFc1FIOjK8R2dIh5KMHAsc/rkRF+Iib4Qy5dY0Nda6DzpmuUln4uVq3Roe8JoQzMcQgJ0vgCVvk7KCwTjtSvpOpD72EWaKufB4RAabXIWOBNLkZFlt9nQDQ4h45Jlb63m1G+m2xiLlhXg68xNuINK8axyd/lidLWwZdMlhuR22n6bORDKdW4Mk8PC0FkvNWusTHQnq5xUV+mxNjrxBSEeVlDiEq1Rg06vQegE/ac9abcdzoQwaCEH0fQHcpMyZ40Fd4YvIYtNR6b1kNUp+f23tSLHcq/0risuovSPH8SyZlXO19wMqKK5CGTLJJkvgd4g9AapqzHT2RucZX/MhHMi+wxVg6TE3UZsywp6T+Rme9SYZtfzjPlirNrqIC409DQFiUwp0JuIKhSVaPD1JgfuO9VP/a0VdJ+cXP5LzGYNuVjqdr1fYOxtJr7+FnTD566Oyaql+u0KGl0QKfVE3HaGnw8kKxJkQJsIU6k5QOLeXXTuSX/3RESh7jYbbS+4MJdbUqIJcV8Mz6kRChrsdJzL/X+SCSWHWE+dVU9/T27OvrkqFclw+sHqdJIP/1E3cij3lY3tDXdQ8v53ozHPve/VzYgqmgsk7I3OObPQ6jVUbnbQf9ydsXrNXBiKDMSKjcjLuWfkiHBuHzChSKp0A/SSW8ZHKJB+3amVCrGuYRqWGLEsdSY3NRcaosTRzIigN07Zo6dinZ3RVGUojQZq1uu43DRd7YxWuO3tYBo6jwQmmvspabCheH1YVxdQels3mlDnFZHUW8D4vtu4/J9a5vI0i0QMq3XuWVWozwtIOl4ep2yNE3tF0kOcSEgivgTL7yyl85WFbReihGJZg7/MNTaGX8rtf6o1ZO7N15d+BvreT/gRQ9059a8pKKDsTz5MwcbX79bAqmguENcMp4mlxEj1rU4qNzlZsrWYpW8ow1So54Uvn+OVb1zIq2/7CiuDEzE8afbCmQup10Mox7hRr4/CqhImcgh6H7rgw6kVMEP8/UNh9FpB1BMhenru2YpIaabZrkdeKVQh2fAWPcW+JlY8tIoXHtOCFNxyn45KLqD0R6/a2RRJzduH0TGGiPRDGh3QR45Tes+9jL6QeQ4bMxbTcsRGyRYLQiMJj4bwXZo+4w4OBqm4pYShcz5GLvgYmfHvE1pBYbWZif75VYEyWHU5RctKs4FkJGh2omm+wIVGUN5gZaLNPys+t7AEigNnc7Jj6qsqqPzsZ9CX5Ojyv0lRRXOB2KrM/OHTuyhbU4it0oTOpE0bGPyGL66h5vZinvvL04znUOZMY9SgOA0E5rGboGIyoZ3IPTyldKkpJ9GM+uPYbrXja5/uDAmORalcWUCgL/s9taPj3PrWElzDkqGm5CyzuE5Lsf9MssGlVt7yQBHo9cT6hkk3t9WIKCLcn+bMVWzlJ3Hb1hD3pV8FxHUOfJcD+FJ7BRntehzrStFbtJBQiHgi+Pv82Mv1DJ1L2wUyISlvKJi3aOrNuXnEQzK3dhLJ+IwVyZrdZYye8hBqC6RNaPi9D3mQY9nt2toiJ1V/9Rl0xa9vwQRVNBeMrcLMqrdlt+voDFpWva2K5XeX8ez/OM2JR2bvSz4VJaLgO+pi9Y5izh7IHh84lZjJQu67CYGtMHfHhabQDMz2IOttuQU3Rz0Roqf6KdpYTd27NRSZx1DGXSSmODpiw3PXGI3H7GSTERF1UfWOKJd/kr7l8MRSpga5R7wxRk7PuK9IZvks225Ha9aRSEiCrjjuniCRiaQ9IOGPobdoieXgqDM79FjLjRhS20zozVq4lL0ylsud2/+npL6AsVQZQXOhnroVhfTvzfzeueMdCoVjM3eDn43WXkj1F/5CFcwUqmheZ/RmHe/6wW2seVcNe750lsE5QliklIzmEM40lfoNhRgC+dnZDIncZ6WZ0gS1OZaQ01s11N5uwmIfQ+ntJjaPXTB1ei9k1RFBoM8BzPbMx/V2ul7J4XWVEB6LXNnYbhIj4KgzYamwoC83Iyx6Qp4Y7stBwmmcgo4aM85aC/0nXLjbr57XGjQ4lpQjJehMGgRJITVbNWj6h1D8yRngyGBuEQ7ly20YLFoMZi3xoSiDxzObdSrqYXPlCWQ2U7kQlH/yj9GXleY0htcDqmjeIFa8pZKGN1Vw7Pud7PnCWSJp6kY6b3FwIY/SY3qzlvWWAbQZKrxnQgyPoNGV5ZxWOR2JyaHHaNdSuRwla0QAACAASURBVMWGoUCDTi8RKBCLEk38P/beOz6ys7z7/t7nTO/qve2utvddb3NZN9ywsan2AyFAaIFAAnkTUt73CRASAiEPCSQBQjAttAAvYDvGxsZtvba399Wueln1MhpNb2fu54+ZXa2kGU2R5HVi/T4ffaQ5c5977jOa+Z3rvsrvMhMNJhg+4QUEsYCG0ZwgdjG7cETG9crsKUoJ81ri/vTXI4WKvcaIu23+HkiqKZnYng6hsTChsTBlZh19B6fJyVluxFlvQW/RocUTaIkEofEol9IoCmnRBBOd6d0vq2+phAt9CFUwcim3G6cumiDQ4p9XUQrAYpe8447DyGB2t4Jt73WY1zbn9PqvFyyT5jWEogj2fLSZTW+v45lPn+PIv82Ul4tZcq8CsTj1rNlhRR2Z39eXFtE4625xcP7p9ARxNUorBZZyK4lQjJg/QmQ8RCLqx6JT8Pf3ECF9yGLVGxroeNqHvdKA6h9O66vMFSI+//ZdqmaU0AWsTRVMHZ/7vD7qZvu6Q5zW7WWsJfMNpniti7FTWV5rlv86MBYhkNodSCkpuqGMlnY/thIDtmIDZocek1lFLwQyLgn2BQgNzbW2YwYd9u3VAGiXsv9fAHxpbrzpcPvbo8hQbn5Y1z135DTu9YRl0nwNwFJqnJMdY3Dq6UzTFjYdhCJ4Q/MYykjuMmOzYe2/yJa713D2aV9Gi9NRYyZyppNomprk2WWhs+E/24ujvhZvX4jghjps1YLIYG7XNxshbTcWnks+ECpS50ITRcQ1J9Gwg5ZHGnDWxhF+BT3pxSl0cT87d57jtG17xkIDfZYWt9YqM60vpt8Cm8qNxCtMtKRUnvwTUfxpRFhWN81tNwxw/pgHT56ume5Tk2y8qYy+eWrk9UZotF5A5rCBMa1bjbG+Nq81vB6wTJqvATz/+RaOzBIx1iJaztvldXudKJ65fc7zgQBMPa3suK2eo79Jn6xfv9GIaE1vI4YmovOmzwhV4O0LYi4zox+/iKhwotpMaP78fZrHfrAJg7UB7yWVqUtAYm6l0iX0CL1C403XY1P60Pvm3lB8WjWxjl6abm6g+wU3s/NuIp4sEmrNRUS1IK4KE+HzXqIpf6ZzjZ2BiQje09mZSe8ywCzdUUUniOeolDQb5w6MsWaLi6HT6a3TN7wjhvTklsLmvPWmgtbwPx3LpHmNcexbnTzzV+fmHNfCCawlBgJZJOIAKl2xdAHtGVBMenQuKzqrAWE0IFSVBAItCjoDBM72JMf19VGzdQ0Dp+ZWCekSsYzxl6lOH0231qLDD5EoqApCpwedDilUpFQwrbVg1CZgJEq4bwzVbkZdu5W4ZwqGunMSrjBUFNFzKAg55AfIWILuZ6Yo2dhAzSo7BkOc3rM2nNUK3hHJ6KEIQkDgbC9NN9bSe8hHIkVW9jorEy2Z31R7k53nHhsBBMPtfuo3u2BqipIdRbS1TM2ojJqN6htcPN3Vx4QnxCrn3N475hIjAwvoAGqcp+1uQ9UY5HJ/FQLzpg0Fr+F/MpZJ8xrizE/6eOQjaZxuJK2N4GRu5ZmawYyh3IFqMaLazCSEihaVxAJxov4YkYkw8bE4jF1W9ZkZKqjeNzMyWlKZbEw/GyKctArNpTqKmww4KjVGWsHdFgEEWiyB7O9Lc2YSxtnrViy0P+lHC4GtdiPla1X0E+2IcPqQrrGhEq9WDWnF6DJj4pyH8JSTwCUfEGXswtwxgfP91Ky0E9Ylq5Rs1RZ8lzKHVEz1ZsTp6TLKvjMeVu0q5mymrb5JoWyTgwlDhO8fvnDFHdMTDFI+ey0jYZq3uWgrsAVGMIO+qk4n0U9dyjmRXbW8/kokc8EyaV4jnH9mmCe+0YbzhhIUTUIkgRbSiE5GCY+EMVea5i2dFIqg+ToXtYYAHO8m6TkLpn5yh1AF8dGZ2zWzbwShmOeo9ShmHc13mtENnoOQhG6oXruW4JhKeFKj76CX1XtLiA7Nn3toqCwmOuxmPFSPFkoSg78/gL8fFH0V5ducOG2TMDjT+vT5nQwdG6F4awXuU/kRp6nUkiLNzIiM+jCVJVh1TzUdT8xf2VSaGOMtu/yodaV0Des5djBARxrCrFhvZ6o4zrNn+gieTt2Krrqmo52jvDGNqKajwC6gFSusjF1MryWw940SGczt82GsW/ZlZkJO/xkhhAv4FrCRpOfn90gWsH0DMJGs/P2olPKIEKII+DawEggDvyelPJea5y7gK4AKfEtK+YXU8SbgJyQlWU8A75ZSRoUQRuD7wA5gAnhQStmTOucvgPeTzNj7Qynlbxb2Vrx6GLgwxVfeepDQPJJmrrhGcbMVk02HxWHA0xckFoqzZrMVIxqG0UnkUGarLldITaKUFMPIVT4wt4ftd5Vw9kCUqD+Oo9rE6u2CFRWdMDTI1SoVWtdFVjab8BtXoyiQsJfhnyzBXqFgNEZICJVEQiUeFUQDkuC4xtTRMEVNxejMc7fYiViC4SOTDAOu1VsorU+ghsfQJwIMXEh+4SPuELYVLrRgjNBIYI4vMh28nZOU7arC0+pGi2goOoGhKGlJGUssoKgER4IEh4L4h7qp3VqM36vD05mOaCWK1YLqCRE5P0ANsOqNJYwLB8887kfKaVbsMPg4fCTzfnjCF8a12oanbWYUf/TUJGabSihDe4vZWLu3lOGjbkJdmUlxdfNkzka6oeH1JfeWD3JqrCaE+B7wopTyW0IIA2ABfgr8o5TyCSHEPcCnpJQ3CyG+BPillJ8VQqwF/lVKeZsQQgXagDcA/cBR4H9JKVuEED8FfiGl/IkQ4hvAaSnl14UQHwU2Syl/XwjxEPBmKeWDQoj1wI+BXUA18FtgtZSZ+wkuZWO1fOAbj/CZPU8x2pVfLmXDJgdrgiOIHDsg5gpLlRVjbJJEZC6BC6cVXU0ZdHUgZIKiTeUY3Wcz+h4Vm4W+S4340uhmpoNrWy3Dr8wVy02Hyn3leE70zzluLDbhWFmERCIQyITE0zpB3J/+hlS8rZyQW8PbNZWVbIVRh2VdLeNnJglPzr0mo0OlaUOcYO+0pW5eVcYzx/WMDSbTfwZXR2npmd/yfu++1SQOzPw82KtMVG50MjIe5uLx+bfptWsdeC9mz129731RmsQRZCy726f2s3+Bsakh67j/KcinsVrWJi5CCAdwE/AwgJQyKqX0kPzIOVLDnEz3RF0PPJMaexFoFEJUkCS4Dilll5QyStKyvF8kC7VvBX6eOv97wAOpv+9PPSb1/G2p8fcDP5FSRqSU3UBHav7XNCLBOF+887m8CROgrlq36IQJEBwOYF5dM0fiTOgErhoV0dmGSO3TJ8+OolSk37YJo4GJ8MqcCRMgOJJ75FyG03/RI+4wY0eHGD86nPx9fBgtFMdaa6doYxllu6qwr0iqcFrrHRgc5uTrZrMVFEGirILO344xNRbDtb6YotWOGUMiXo2+DgOmKvuVY6GOMW6sGuOuB6yAZHVlUdZre+LCJRR98k5Uvb2IhuuKiI2G6H92GFswe+6lq2y2tzg9HvuOgR6uyzpOX1mBoXG5hW8m5LI9XwGMAd8RQmwBjgN/BHwC+I0Q4h9Iku++1PjTwFuAg0KIXUADUAvUAFfnffQDu4ESwCOljF91vCb195VzpJRxIcRUanwNcGjWXDW8hiGl5OEPHaE3T8Wiy1DzkQPPBxIGXx6jek8tgfPTllzpjnKmTs1N0xnv0VO8diNKZAqZygvVFTsZHKljojVzxFd1WUiUVxL0SEJTMZxVBvR2Dbtej9ApBHo8aIHMFpBM5H79UpME+n0E+qetL6EKAn1e/L1eYq4qHCtNBDuG076mdUMVAZ/CyOVAjBSMnE7aCZUbHEy2TfsMg2MxRk02SovjRN3J69eCMYyt3Tz0xhIO55ARoAhB/a1lBFt9TJ5O+kUvnzbZ4cdebMA3j9B1IMekdlcZNBT3Z92imzeuXe5GOQ9yaReoA7YDX5dSbiMZev1z4CPAJ6WUdcAnSVmiwBeAIiHEKeDjwEmSPs90/wU5z3EKPOcKhBAfEkIcE0IcGxtbmO7hQvHUP7fxyo96Cz5fp+X2xSgUiatSeKwNTqZOp0+Uj7qDDL88xtCpGKJuNfq6GtrPVzHRmt5qlEDx9mqGp4pof2aSgeMe3B0Bul+cZOhcgIETfvqPeLOK8UZDAteWalRzYQGSyw3PhABXnZG+A+P4AmYcW2tRjNOVV+amErpf8jGcNnIt8AxFqdxTjnJVp03PpQieWDE628xUn1DXBNtGBvjf99VR7pqVBiThlo1V/OnudTzgdTHy2xF8l9L7Ixua59c7negPXpHcmw+rt0sYye4H9/72BS795V8THcpdlPj1hFw+gf1Av5TycOrxz0mS5g0kLU6An5EMFCGl9ALvA0htpbtTPxbgau9yLckt/TjgEkLoUtbm5eOXX7sO6BdC6Ei6AdxXHZ891wxIKb8JfBOSPs0crnVJ0HpwjB//SXY1mUxYsdWJ2jqQrXvrgjDV7ceoU5HxOCaHIJbl+yI1yeChKawbGglPzPXZSQmuTeVEPHGGj4ziHXWkmWT6z0QsceXypARTRbIxXGQ0SSSe1iSJmcqsoPrSdkrMFfGhcRCCyFSM3hcmMJfaKd9iJTwwyUivTFtUYLDriPrihN1Rel8cx1ZlorzZzuSFSSKeKOOtIeJ1JVTWhwj2TROu5o9S3jLIp6tUJm5ZQfuwwK7qsAxo+M4G8GZLsAVMGfyzl1G/3jFvFdBlVNZEr+4jNy+MTQ0YqvLpyv76Qdb7k5RyGLgkhFiTOnQb0EKSpPanjt0KyXo1IYQrFSwC+ABwIEWkR4FmIURT6vmHgEdlMhL1HPC21DnvAR5J/f1o6jGp559NjX8UeEgIYUxF3puBI3lf/asAz1CIf37HQbSCxDCSqClXckr8XghCI0GcO+op212Jry234AwSAud7KN8+7beTEpzry7A1lzF+yo2vx4u+yJKmta0kPJHKJxRQtL0G+5Ya9A3lRFQbY90amt6KbpbknGuVPS/CVGzGOf7a6ISf8s3T3YZC4xF6D7iJm5zoTAogMdhn2hOlG4qo2Tudz+ofCtN7YAxhMaC3J610z6UIbcdVbKvnKgIlohpFZ3q5tSyGctyHryt3ndTJNh+1q9Jbm4oiGJ+nVbKiSj7+/7Tzh59sodHWmtPr6asqKH33gzmv7/WGXPc6Hwd+mCK7LpKW5CPAV1IWYBj4UGrsOuD7QgiNJLm+H674JD8G/IZkytG3pZTnU+f8GfATIcTfkNzOX97qPwz8hxCig6SF+VBqrvOpiHsLya3/H8wXOb9WiEc1/vkdB5kazr9U8GrE0pQJLjbMpQZi3b0Ep/JcqwQ15qN4dx0xT5SYP8b4mZl+W9VmZG7THoGp2EjYHQEJfS/OtZTcbV7MZWbMdS50RgWDTSXizk284jIiFbX0DQUoXWnB4QJ9PES8dyQpNjwLE+c9GF0G6q8vJaAJgiMRQt0+pITgaJjJLh9VO0sYPjZtWU/1Bqm/vhRFhZHj45TvKMUTA4PRTSIy9yPpPz/A9pvKOHFAIRbM/UZaV2umP414dcUKK4GOzAR829s1GO3PucOk0Ouo+IMPophMOa/t9YacUo7+J+BapBx9/w+P8/S/tC14Hke5kT1OLyJDBHkx0LDfRfB8d97nmeuK6bxgQ9HrMCtBolNzq1G0unr6j8wNgJVWiSv12rmicbeZYMe0JaxWuNCcTgSgeL1ow9Ovo1YX09NvxtM3M0BlqzBSt96M+1h6P7e+2srZwQTxiMaWnS4Cx8ep2FvKyCvjqEaF4mY74+dnknfJOgdSk0y0JoNPW++zEjyb2Ydt2tDIsUdyL0QwFRu4MB6d0/Vz803l9BzI7K//8KdGMAzl3mal9Hcfwnn7zTmP/5+CfFKOliuClggv/aB7UQgTwDsaIbC1CtuFhSezZ0JwQgNlbv+f+WBprqLlZR1RbxyIY93uQvhG5zSQ84+lj/zO3bLPD3VNOecuhBFKDUIIhAKRjjiB8SRRrbu1GGuNAkYDLackhoQOf5qqKv9IhC6nnqrtFURbxtHC00ykWHT0RHSEppLW27GDbpq2FWM0R3FUGfAORfFeCuJosuLtDiAl1FxfxtCRCRKxabdBx+Eo1ZbUAwG2tZWENDOKArEIHP+v/NqY6MzqHDeDqhNceiWzL/PWt2sYJzpytjKtO7fhuG1/9oGvcyyT5hKg9/Qk3/7w0UWdMxIXOfaMLAxj53zU39hI6EJu1qZ1XR2nn9RIxKcJZ+iEl8abqpg6PTMml8kfm09ai7nWSsc8SuQAF569/HzS2rVXmTK2BzZb9Rx7zk3tahs1ZXH8l5IE6K0rYnSWVdx90kOzXqOuWc/FiWQASWdWcTRYsFZYGHhprqXnH41xYmcjnrEQO9bZOPeYj9k1//lAV29F9sy0mK1OPdpEZkvdbEnklMgOqR7m7/+d5VSjHLD0zrLXGQKTUb761oNpuwIuBCWh/Hx5hSCXtBUA84YVnPyvOIk0WVA9ByYp3lE141jG1sV5fPp0lWmi71lgmKdxmT7VSri/LUinW6DfW8VYTRHtadwIQgCTfnztE6y/xQRIAsNhpnqDDB7ObOlJRU9be4gfPzKGc+XCbnnpBIYd5XP9jkaLwt577JRUG/BMFEHt6pzmL3v/u1Gt6bU9lzETy6S5iHD3B/nHBw4UVPEzH1Zuc0J/YYo3+UAVMdSGRkxrmlDT1IUDGNau4vSjYebLf9ISgrKd09o9mdzmBocBW60VvVWHalIpu64Mtb4IR5N9xjgpYag1fyvNNzLtXzXYZm6qdFfpVY4PRhjqiTCcoUuo0a67ErGfOjPMxrtTcm5Z9r02Zfo9klW5Ve1kQql97g0g5Iuh6qdfw16sY886P1zsZbVpmERLH8f+04hWs3n+yRUF85pVWdcQD8dp/49zDDzdTXiicOm6/+5Y3p4vEJ6hEI9+/jznnxlhMIO6zEKhN7w697au5/1cJkNbdSklDRGCvdPKPab1KzjzWObghaJXaNhjI3C2jyDgWunEVGZDeu1Yaq2puWVyGzwcpjPVasLiMhCLagw+m7wxOGtMFJWaCI0nI/n2tUUMHs3/RjR1KUhJysJzVpnovaqrp6d7JgmPXPTRuKeYzkNzc07D3jjhffWY25I+Ze+pS6y5rZ7WZ+a3/uNXbXWPtkyw2aknkmfg68r6XpmgdpVtRgR9oj9E0xYXU60+4uEEzdtMRLtnpYtJwcmfwtp7rsMWOAnxuRarvqwEoZ9fn3Ts2BBH//w5fN3Ja9ZZ9TT/7iaa370Rc8Xry0JdJs0FYqjNx9P/mr6lwmJhcjTKqyOdMP0l9w+GKV5VRDLTCyzr6jj1WIhMFqbeqqNmk4FAy7QSZ6B3ikDvFJd8lQTnEVMOemYSydRAGKXBRGmTHm+3D2wmyOidzAwpYTxFMvbKmVvZkDtKzWobA1erC80TmFJnmcsGQ3r3i261jXhqzjHv9DWPjYeJ7XVh649grLcgFQhe8BHxxDK7L2ahpm5u2lH3aQ+bbyihqTRCpCWzVubFX0ep2bmd6qJzc+XhdHpiI6PoK2Yqeya0BCMH++n5ZSt9/9Uxw7KOB2Jc+PoJ2r57hhu+cReVN7x+VJGWSXOBCLjz6+NSCCYGQ8xRqn0VIMT0t8Q9aiRT31x7rQVXcYRge/qiZi2Wf/XOZG+YKRXW3llDLAfRimwIpbHwSqvMM0hzpMWL3qQQm9Wm2FqkRxeZmb8aicy1/tUdRTz1ygh37CgjfnaKeHzmPAdeSZVZXUr6Ta02Pes2Oym3GfEenGnhWitN9NhgS60NzR1Fp1cw2WDzLivD/TE8EzFKKvXUNxmpVsYJ5tC1dOBYhHDzelat70Ubnw5exQYGCV1ou0Ka8VAM95kx2r93hv7fzB8Y1EJxDrzvceruXUXdXSvwdnlofFMzlhr7vOf9d8YyaS4QZ3+z9PW5Oh2YinSEJ5e2/nw2AmMapgo7kRHf/CWcAhQ1swuhsNbAkNBgciyObyjEmltK6TnmSdvqOBdM9s71iYZmtZSIBjQqtzi5NKu3z54dOkTn4Iz3wCAizJZBEJ4oiiK46IuwUkpcxfP7MQP+GMdOJF0G9++oZOJk8nVVg0KfE1oveGhtm+Rtd5di7egnMapRBVSZmJan6ctPdnqiPYZvqAZXYyPOKoEzeATbvl3Y919/ZYyve4rn3vnIPLPMhExI+h5tp+/R5I7LHv4txjvXoq5/Ux4r+++DZdJcAC4eGOX5hzuzD1wgVjYr1BV3ol/nROh0jHvKcHdGqN9tJhKAwRNBEjGJpUyPyZVsdYGU2Ct1WItAKJK+Y3GCY/n508ZbfNRvS35ELhOfUGHFXiNhn2TwXBSpge9SkNCYSs2GUkI9c6PJQiksjcXo0DF4chItJgl742gFNhsDiHjjOMuNV9rrArjb/ZTUmpnonyZPozV5vapO0LjFQX1pHF17/5ybhrdllKb7mjg1lGB0LExCk4Q9YRIJSV+bl9J95XS1eiiuMuMeyh40eanXw7YSA6GJKLqdTi4cvCxcLPj5ExNsWFfEjeVRwv0L95tH/ZLRc1G8/QrGW3ZgbNhH/5Nd9D3ewYaP7SQ8np/6/2zYXRNoB76MHLmAeuMnELqFBcFea1gmzQXgxe92kcgzQbsQNK0APBAbSzrhy5rtlFVEifR0YwZWrVTQlTiIjaYspMvl2pOQSGXQ1JbrMN/STHBSYbwzzmRXZv/k1dD8EaxNxVidULNSwsggcW8QFKjeY0RXXc2Uz0r/qTgjXZLy+iLC/Vel7QhB1F+YdVi2wUnPy8lta7jAAMrVsFWYZpAmQPVK6wzSjPvjrNxZTFNNAvVsN8yTGqp2DdHZrcfjmXt9J15OBmR2v6GWw0NzxZNnY3w8zOR2GzWr7TxycG6HpvMXAlxU4L1r9GjBxakMC3sSnPtlAn753JVjJVsrCFxaGDEbdaMQgUTrEyQGT6J/878iLCVpx8qQB0zO/1b5ocukWSCO/fISB76bf9lhISh3Rmd0m4y098x4XmqJacLMAEOZk8DpThIxjSKgfKcdtayMgM9AeCpBNJDAWqbDWpRAJgQ6JYz0+QgPTyImJExcmlM9nghGiHYkibu5CgzVpSgmA6O1dfgmVQQSBJSbBaMtM7+I5ZudhN1RvP2ZrbBYZHE1RA2OuR/3yCxdgMEzU2y7wYp6NnsP+ag7zEPXO/nG41OkuwHVNTs4//Qwtasc9HdkJ6JjJ8aZr9BXSwDNZXB6jqDXosF9epShFxZSeSZRw1e19/ANE3/mb9Hd80WEOjdCr535OcJShLrprQt4zVcXy6RZIF5egDZmvrDjzdg6NxeoFiPxcIJEbHqWmNtHzO1DBaypH8YglooPXCbIfO7/cfcUre51dB2f6T+UEur3FOPuCVKyxk7/UIizZ6eoWmlD0QsSsbnWuqnYwNCpxc1NjYY06m8oZao3yFRKu9Ld7qe03sL4VeWWJw8GuPf+KqYueRBRDTWYOfIfPjfCHTdX89Tzs0xSCSZFh5RQVmHNiTRzwWOvBLivRIcWWgL/tioYfvES8XnEoLOhdB2gzbwRyYETxH/1cZQN9yNcdYjS5itbdnXTW4j98EHkZC/q3t9H6C1pZn1tYTm5vUDUXyUttrSQyLHsWonzwVBTRnR0aXJIr4ZaXU3X8blfZiFg4LCbqCfCwESUSxd9aJqkv82HbZPzSquHq1G+3rHoro+BEx66XhzHVDTT4qlpsqK3qDhXminf46TsZhdP9Ah+cBpipdmjwC7r3PUrqsBalPSTdB+doLxucXIZR8eiRJsrFmWu2bBU24j5c29Xkg7la9MTrhy7iPb8F4n/6mPEHr6b2M8/iIwGEZZilMYbSLQ8Suwnv0ui6wAyFuK1LCS0TJqvcbzxAT2JYOFpTbZNjfgvZu6GuJgIJ+a3Epzbi+mblRpz8dgkru0z++hICZ6Bpas4MTr1mFdZsO5zodzo5NjgJB0RP2d63Bw9OsyxF4foOpe0HLvF/Neks+p57vDcpmaJhOTUK8OsvqGMWCSBGoINu8pz6pyZDb94ZgpD8eJItylGleKt5RRtLCN4ybfg9RXV5hBEkgnkeDuJrucBEMUrkscD48Sf+itiD99N4sJ/LWwhS4hl0iwQ/eeXvhZ8224dK0LnCj7fsrIK79nsQYjFQig0v7cnnCGJ+9wrE9TcUHrlcclqG+48RHrzggId0TAHOyc48MoQRw8OM9iVuZPj4QPjuNdkbj/lbaxgbHzautLrr/pKCTj9yjDNO4vxjkXoOexm/ZZSXGULI7xAUGOiYm5gpXK3C9WYud5+Nkqvq0QoAvepUSbPLU47GJszd5eKHDwNgKhYD+aZN07tzM+Qs3XwXiNY9mkWiIf+fiuHf7p0Um0mM+xv6CE+XtgHR19sJzjkzVt+bSEw2XTUbzXSd2qutWGpNtF3LrOLoOX0JE2rbLg7/BisS/ixFGA16tAblZwDTS+cCLCitgKDDowGBZNBYNQJDHrBoVN+9u0qpcauRxeIEejyY95URNt4GE2TrK0wEzjjJrTGTn+rj97THmzFBjbuLqfznJtQoDDf5K+edvPBPQ7C/V7Kt7moberFHDnBijv0+HXrEWgI4ujxIoUBDQMRihnpKkKoAoRg/Oji70AuR85zgQwmq82U2h0oa+8mcfJH0096+kh0HUBddcuir3GhWCbNAmFxzl+ru1A89KAk3leYNSt0CorVgrZAX2g+MK1tov2pIaq21NB3Ks2a6q1o83TiDEzF0W8xUV1lQgaWzsIQEnQhybbrKjhyMDfSmBqPEFnj5ORLc9uArFltp7TbR+AqVSvf4TEu6zz5e5IVR82mKKFqMxODIfzuKP5DbnSqYOXGYjrPuefMmw01tWDaJGjemcAV+TXicuxFC+PSDqc9R2dczcSphfks58esyHm20YMnkVosFVWf6xdOnPwhStONCPW1RVOvrdX8N8Kia+Q8hwAAIABJREFUKxmtVbnvuhG0sQkUkwGtv/AWGZY19XjPZE+ZWSzonFZ6DyW3qP7zg9hKy/CPT1tQllozRp0gnsWyO5lSIG/emb1XeKGw7XJx8Ej+FtbEQHpfnXsyiqXOirdt/kBbYjLClhorJzQTnlS/94QmsZr1c/urSth+UxXxcAKdQSGeSHDxxDjRVPuMd/2vBLe5UrmVUXJOcdBrY0Bp1nGFonSdmBM5nxcJjUTHMwhrGXJkrrq8nOhAe/HLqPv/9DWVx7lMmgWi62j+1kF6SB54m476wAXiA0ni0aKFp5NYVlXhPdPHkraunIWYvYaoN0kaMi7ZsFWjs8OIvtFGICYY6Qsy/kLuPrP2Y5Ns2OBkrGWehmE6MNv1WIr0uCoNSAlhfxypQTScIBZJEPbFcVQY0BsUhtsDxKMJej2F+UpHevys2FxE16z+R2NjEZ6IaNxRZyVwaf65tYEA29cV8fx45EpmQOeRCbbsrsDtCTPa56e22YlZp6N1VgsLl8tAzU4n4YjGmD9CvHk18YQZU3wAprLvKKSEsfh2YOkCbBXr87ViJdpzX5h3ROLirxH2KtQd7y58YYuMZdIsAPFYgse/dGERZpL8/vtj6LpbWIw0bmNlEYGeSV5NwjSvqqXt2ZnJ3b72CcoBr6xnvCvMeH/+eX+6YkP640bB+puKCLR7iHhCyPEgwVmcYUj9WAFGkiRRW6zDv72EM0/OrbbJFZnKQae8cZ43htm8rYQio0L07CTxDL5K7cIk+24q5+Bz01v9jsPJqicdguEz6W8UAU+MtpS0XR8w9VgzQgjW31TNDeufyLr2uKGEzieWcmsOrpqFlV9mgnb0YXBUoTbfviTz54vl6HkBiPjjRAp04F+N//U7CrruxZGVU0x6EgmFRGTpmq+lw3CHjkwkXTQ8yJ7rCvP9tp+eRGec+fG0FutZs9HExOERwu5IzpJqAPFgnPbOzFHyXNB5ys26PXPb80LS4nzmxRF+/tshjqsKjl2lKPr0Xy/l6Chrdxbn9Jor17twXHUD2bSrjN17K1FSyvMtBxS00uas8yhaCHUpA2yAzbF0GSXac39H7FcfJ/bYH6Od+gnSN3LNcjmXu1EWiPPPDvPFNzyXUZU8G66/Vc82cTqzrHmesKytx3e+cCuqEJjqy2k/OP99V+gET3W4SBRgSm/bXcLAkaQbpLjORLkjgS/LFjjjOooMPDEYWnDCvKIK1u0t4/zB7L3hG+qtbA7GZzRuuzKP08DJmHLFv3nluBBU1Fuw2g04HAYmTk4RC2lUbXWRMCuIgMbQqSlqyg1E3EnLsbhW8sD72tGHRohba9EFB5A+DwjBK/od/OdRuDSmca4nysZaBxurbdxj0BHpWlySe9NnjqAGXp3SYgAsJSAEwlWPUr8Hpfm2jDXu2ZBPN8plS7NAbLi1kvv/v40FnbtijY6d9rZFI0zbpsZXnTABEmZn1jEyLtm2r7D+OOGUAVu5xkqJMVYwYQIk6m2LUmGU0CTnD46y/vryGa0m0mFPsyMtYQIkpqLsqDOhzrJGTTYduqE4gTN+hg66iQY0ZAIGT3gYfsnN0Kkk0amm6fPc/YKRiSoilhW89B0nQ+5NoOroLdrIe78W4omjIc71JAn2XL+XnxwZ5AdTCu3GaiwNi1PZZimTqMGlS8FLi+AEBMaRAyfQXvkasf98L9Kz9AHQnEhTCOESQvxcCHFRCHFBCLFXCLFVCHFICHFKCHFMCLErNdYphHhMCHFaCHFeCPG+q+Z5jxCiPfXznquO7xBCnBVCdAghvipSoTIhRLEQ4unU+KeFEEWp4yI1rkMIcUYIsX1x35bc8Oa/2sCbP70xY7fFdNi6S899a9vRfIvn/4l5C4+0Fwrz2iYGTuT2uvVGP9VNRiwOlY03lbNivZP6lTaaN7tYv6eUjTeV0by7BJ1h5hvZc87Dqn1FWCMhgqMLu8bhPLby6VBVY8Vim3Y1tLw0Ss0qB66K9Inqb76tCt/h+YNf8VYPN+0tRlGnrzvoi2Fdb0PN0uJENc1MYrc7o3QfT5Z89h5JcHHsZn51rIqaDJVDqyxOui6EeOyggm5zHapl+tp01vxdKuvuC4K8xsnoER+J0cWINcyPXJ0cXwGelFK+TQhhACzAT4HPSimfEELcA/w9cDPwB0CLlPI+IUQZ0CqE+CFgAz4N7CSZZHFcCPGolHIS+DrwIeAQ8GvgLuAJ4M+BZ6SUXxBC/Hnq8Z8BdwPNqZ/dqfN3L+ytyB+KqvCWT2+i49B4BjFiSWWtSm2DSkW5pMQRxzV6Hs23uH7H6OAYjk21r0r1j7G2DK/PyaWnck+5CnZPsmtVGf02KxdfHEXK9HcZh11H5XYHCVUgJWi+OBaTZGKB6vhSSroX4M+srrVSPARlqhHz7hIOH07+r/suTGF1GVi1tYiOU9NR9Qdvq8J3JLdsgcTJcW7eVcxLZ7zJzIPtJUk1oyy7kNmk2Xm8HN/F5GtGpiRT/Srbikz8JJKeyGK9yc9gPCZ5/Fd+Vq4vY81mlRPHowyfjVC3wsSmzXr0Y5OEh7L/r6vquxbSoXiRIJKCr0uMrKQphHAANwHvBZBSRoGoSPZCuNxX1Qlc1quSgD1lLdpINpmJA3cCT0sp3al5nwbuEkI8DziklK+kjn8feIAkad5PkogBvgc8T5I07we+L5MO2UMpS7hKSvnqFFnPwr53NnL2N8OUVSjUNKhUVMDa4lESI6PIy+lDU8mfxRU7S0LGNAItvehLncTGFzd/9DJMNcWI0kraHpsg3349EhgcMoOUGQkTIOKL03toZiqX/brsLoBsUGqteFoLFCyRsKbUwXCvBw2IvTzFzftreD6leSmAQH+UrTdUcurFYR68PbuFORvaOTfXN9kZsRjxnPUR9mYPMqqGmeQgjDOzDaLDfqZKTDRWFLHJaMBpMuI0GrGgQx8TjB+deRPpbAnReSVVUnCpK8KlrgigY/32WpobQOsZIzY19wbmrAd9YOktvPkgGvYhihogsrBgXy7IxdJcAYwB3xFCbAGOA38EfAL4jRDiH0hu8/elxv8L8ChJErUDD0opE0KIGuBqh0M/SdH+mtTfs48DVFwmQinlkBDicqecTHNdE9K84d1N6EM++PnPICEhANo1uOuaq12LTprGqiIUmwPP2SF0qkoh6UyGtfWMP+2jcnf+Tvr2Yx62NJsJjhSeXxirMEOBpHn99VUMvziznnrspUn2X1/Diy8P0ryhhLaDY3jHIlx3fRX+s4Xl72q9PirsYULNLnqOZ6/fnq0M1d8pubozvIxLHKfG2CNqGW0JABohggVkaQpaTgRoOQE6nYVt+yqoLYoRbhslkbJi193jY1GUSAqEuusDKNvehRACGZpHNXqRkAtp6oDtwMellIeFEF8huU12Ap+UUv7/Qoh3AA8Dt5O0KE8BtwIrgaeFEC+S/ts2uxbi6uPzIadzhBAfIrntp76+PsuUhUNqCarkIEML9JsteB3hxcvDU20mjLUVTJ4eAhkEBLECeEvoVXpPJ9cVHs9/my2lwNToWBBpThb6f5Ggdc9dcyIuGT3g5tbb63jl2WlB4JaXxnCvsLHemUAbys9nbayxolTaMQC2MiP+sSzv1SxLc7AljLxzDX0dQcIBjURcEg1phLyLd/eOx+HoAR9HAYvNxc59Vkr1YcoqT1yzrbl64ydRN9x/5bF2/AcIeznKqtsQ1qWpfsolENQP9EspLxe0/pwkib4H+EXq2M+AXam/3wf8QibRAXQDa1PzXN3ns5akNdqf+nv2cYARIUQVQOr35TyPTHPNgJTym1LKnVLKnWVl6fPrFopA+yDnPvo1hn52cEnmzwfB7mF0zvxFXBWzAf1VupGm2hISehuTp4bhqu20rzd/K1asaCAwmiQAT6efihX5r2+gf2E+zdECyBqgaqWNWChDq16LSnvbXItwuMvP0fE4urW5R6VNjQ66RuD0sxOcfnYiO2EC7uHwHLdneCrBYKsfd38Iz3CY4FRssRI05iDoT3DgKR+/eDzG5z+9n5NDDxCxZM8XzRsGKzgyq0wpjdMN4aRMIGxlyQj6EvYlykqaUsph4JIQYk3q0G1AC0mS2p86ditwOUu7LzUGIUQFsAboAn4D3CGEKEpFwe8AfpPafvuEEHtSftDfBS63wnuUJDmT+n318d9NRdH3AFPXwp+ZiMRo/9xPCHYufUfKnJCQWBuzb4FVqxHr6hpsG5vQVVcRmhL4+yOIolIM9TVMdfoID830DQmTkfB4ftaeYVU1rc/M3C5VNeRPmpda/NgKFPEVZSb6WgvLR3RVmRl2JShbZ8fVYKGoaXoN9uscjPentyZ97ijPnZgivrM8K2mZm120dccIzNMXPh1GWn2Ubp0mZmOJgfPHl35rmg6D3Tr+7a8r+aP33MaXv/l+Lk69kZilHpRFELWJBiDsQZSsBMOs1DW9OZmrmYIQCurWh9Dt/xOEcelaCOcaPf848MNU5LyLpDX5CPAVIYQOCJPaBgOfA74rhDhLchv9Z1LKcQAhxOeAo6lxf305KAR8BPguYCYZALpcF/YF4KdCiPeTJOO3p47/GrgH6CDZwfRKWtOrhUQ0Ts+/Pk5kcLFq0BcHmi+YfNdnfVkVswHLikqi3ji+jnGCE7PrlQXhoctkOdf7oasohb7ct5z62hLaDkfnrMNzYQqrS0/Ak08GgUBXbYcC8jRj9VZkd/4WskQS8MXo6fayotmMpwjsVh10g7XciF4Rc9pkXI2EJnnpuVHW7y6hvG8Kmaa5nLnJwYULYaIFqjrFr9qiKyaV2MjCLPLFQNtJPW0n64A66lbH+ctP/QgRW2B6XTSAnOhMam66km42pXxtsm3GNRDyyIk0pZSnSKYKXY2DwI40YwdJWpHp5vk28O00x48BczLFpZQTpKzWWcclydSma4bo+BRjv168CqPFQqh3FMf6Wnyto8i4hr7Mgb6kmKkLo4SOj6RG5f9BS+hs5NphW7Ea6e3UE0ujOB+aiGJvsOdJmtBx1k+ZIvIqnQTochfm561otNGZEucYN2ucOTPOXXtq8QHGtRZ+e6Afi01PWbmJqXlySFsOTzBWb2FTvQmtbyZ5C6NaMGECTA6GrmwVg/1BGre56Dm5uH2VCsXaHTFKKuN0e29ghfmpxZk0NJn8AaStAt3mt2c5YWmwXBFUIPRFS2f+LxSBi/1YG4twbKzGVGpl8tTQlUhnofBeyt1aCBfXXPFjpoOrPL0Yx3xwD0Wou9GFmsepothAx9nCtqyll90BAs6cHQcBTx7uR9ts5oWXkulGQV+MirXZPwdjfUFe7g2jbJkZmAhfWlimg3ZVQzohBE7H0mq85oM1uxO8+74fsMLyWyKWBuLmSqSip4sb+HnbmzgbvpWIpaHg+UVx4+ItNk8sqxwVgLg3SNtnfpR94DVEqDtpVZrqylAtC+uVrZa4CFzI7QuuK7PTcWh+a8dkzO9erQjJW96XwDb0Mo2324g5apkcN9D2fAxnjYp3SENLY1Aq5WboDc5vWEtYv6mElnMTMw6OZHAFnD8/Pa6y3krbgdxyMsP+OM8dHGf1jmJqjZBo95AIxChpdDLRU9j21WBWUUwKRStsmIoMhDTJ5pvKOJPjmpYSjxyy8YPn34zVKjh+RZT66mQZI3pdMb/+movi8Om850+0PEai8XqU6q2LtOLcsUyaOUJqCYSqoAUjXPjUdwh2XJOU0LwRvjSGxWHGsKEK96lRZCz/9HqlpBSYyDoOIOYsRybm9/NG86zw2XOXDtvAcQDibi/C3UIxsHePioxr9Jdtpe/Y3JuCzmrm+nUVDCcidKaJdCPh+vUVjJ7xUlJpZmI0hMWmZ9fOCl44lL23eDgYZ+WuErRYAi2WYKTTTzRDtP0y2o67aSMpM1dcaWbLJjuldWbicUkkqBGaSgaFwr65PlCdSaFitR2LU4+SkMS8MSZjkqFZbUQ27S/jbB76pYuNmv1F/OqlDubWF898HIsL3vLJZj7/qUqaytyU6fuQ6FFkGDWcWSNUVGxE3f5ORFHj4i8+ByyrHOWA8OAE5z/2b1S/cz8Tz58lcPHVa1a2WFBtZoz1VYwfG5qRRpQLZN1qxo5n/xIqViOdvXbiWYjDWmGidyQ6Y3s5H37vgxMk+tIIMSgKauNKzh4w4+mf+ZrCoNCfMBOYiKKoAtduB0cOD1NTb2NFvRM1IUiENAaPJcm0/MYitIQk2hnGNxymaLudgUiY3ou5R9637a2k++Xcbi6XsX+lhfjQ3KwEoVcwFBtR7QYUs45EKE6w04tqUtGKbUy0Z7b8pZQYtrjoXeS+8bmgdl8RvzzasaA5rBbJ0189hjHYM/dJRY/+bf++6NvzfFSOli3NLJBS0v/9Z4l7g/R9I7vY62sNOqcFQ00Vk+fG8B0dppAgUCBDq4fZELU1xC9m9yFqUY1VO4poPZQ982DVFjU9YQK6hnoO/tRAIj6XpM0bSgk8n1xLQpOEW0PctK2KoeMehrrnvu7oizPXPXnChwXY2VCM2mSkrXWSyXkCPgKQ4fys+OqVNuJD6d0AMpYgMhK6IqJ8GVoojjEaxlZpwj+cfj1CCGyvohD1ZdTudvHo8c4FzxMICj7345187s0DiMTMHYS6/XeuqT8Tli3NeeE91UX/d5/Bd653iVa1dLBvbsSyqpaJk8OEh71Y6ooxlNpQzQb0LgvhwUlGf5u9XlhYzYx0Z285K/QqlyZLCU3mFq02FxsY8GjzdoS87naVLTV9xIczW7n6mkqG3JW0PTe3WU5ifQUdryxOSlhxk4W6N1cwNhbi4C97icyypnfdWJ2zf/Nq7N9bQvx0/mu0r3Aw0B0hliH6LqUk1mBlvOfVK9WR2/QcO7d4Oct///8GuK3i19MHihrQv+1bqUZsi4tlS3MRcOnbTzP4oxeu9TLygtCplN97HeX37MSyohKAxgxjQwO5kaa+vBRyyHNUV9YRejr3rWzIHWXN3jLOHZjru3KVCd74lhD6novEs3wHYwPDlDJM5TtXcuJpC/6xBPpyM7LGRfvhhSd7r9pfxl1/tYHmm8tRUu0uBtu9fP7e5zA79Sg6gdRkQYQJMBSVlEqZd76hr8tLw+YSOo9MIdPcd4QQlFSZXjXS1JsULvQvbnL9Ey9YuO0d049btdvYtASEmS+WSTMDVMvSlWEtNoSqUHLbFqrfuR9zbW71tqZqF6rViBaYPyiT0JnJpmpkWF3LxRfyV5eJ9AcQYlr5SNXBve9MUOJrI9GTn35mvKuT7btctF5ay5TZypmnFta+uKzZxgNf2sqmN1XPIbSqVck0o+7jC7di2467qag0kPDmn90weWaC5hsraHshvR9VUZc+o7D2+iJaxifx+oNMzpNmVgieOwg/XP8A79r0KD7TGry2bYs6f6FYJs0MuGypveagKFibq1CMekw1JTi2NuHcuRp9njXnQghszeVMnZpf6Triz7x9FjqF2ge38uwXCmtx4L0UZPO+EoKxBDXVU6yy9RAfmSxYPk/ntGE524nBVpt9cAY4qkzc9idruf5DKzDa0ls1Qgj2vrWeX37xfMGvczXUGisJb2FBm4mjIzTfXEH783OJM0OLogWjYoOd5wcG2Nhcxi8PdyxhHz/Bl7+p57GVb6GrG7773NK1H84Hy6SZAZZVVdMPhMBY4SQyfG2rLYpu3EDd792OuW5xxEdsK+cnTQlMdaaXVNNZ9Vz/tTsZuBAhqclSGIaPTHDv73nRerqJL7C7rG/KiBARdAP92MpW4B+LIERuXUXW3F7Bvg+uYNObatCbsgvZ7n17w6KRZsJSuHCulJKBSICqO0oYemomcfov+ihpsDDRu8hdIktV/G0xDp0afFUan7Z3Jl/kG397jK8/du8174G+TJoZoHdaEbpkHmDDR+7Gtr6e8x/7BgDr/vEDXPjkt161tdg21FP/4buwr19ceTtLw/ziHkJVSETn2n0Gp5Gbvv1GSrZWULI9zqEvX2Sys/DqFiUSYKGNEoz1lQwfThK8APZsC6KEQ4jJKRJFLkb0NZx91jODQIvqLKx5QwU3fmQV9Tl2h7yMpq1F1K530t+y8OZkUVWhUNoMbrfzvcO9IOHDq1bg6Zj2YYbHI1itKtX7kzdZQVIEO+CL03NysmAFpNZrpLfw0lN9vPB4Dzff23RNXv8ylssoM0CoCuu+/AFM9WX0/8dz6Oxm9EVJlRXrqirK37T03TVMdaU0f+adrP+nDy46YQLo7Fmi4loCZ/NM5XRzpZVb//MBSrZWAKC36Ljv33cVZHEY7Dru+uoOjGWFNV67GmHNMeOxbngYxTOFEKB6PFSPnee2N2g031jMjR9dxZ8eewOf7b2Xdz28K2/ChOQW/Zb3rFjwugH0BZJXwqnj8a6UWqKAYPVc6o0HNCZeHGfixXHGXxzH/eI4kVMemhutrL2+dEZ/olzgqjHT3n1t1JQAvvdPp/ClUY9/NbGccpQFMpEgPDCBua4MqSXwt/bjOdTK6K+PEfcsTWRSX2Sj5j23Un73DoS6dD1PBh89Revf/Trtc4amOjTVgvuil4g7GZRxrCpi/3fuxVI9l+R+88njHP3X3Hu4r32gljv+cTuOGgsXP/E1AhcL7yKoryjm0imFXJj7tqc+iKlicXQDRnv8fHTlrxY8z81bncTa8lOWl1JyaquRV45OV6aVOEw8sKmB0CEv2jypXFfD1mBBqTYTjyXQG1R0KsQ1uHAwfTaAzqhQstfOf73Uldd6FxPrtpbyn4ffsajb9OWUo0WEUJQrPkShKtjX1xNz+4kvQTqSYtJT9bbrqXrHja9K9N5Ylpk8InEzY4ene3uXXVfF9V+/C2NReuv0lr/ZQvsTg3i65r+RFK20cdc/7WDlndM+Y3NT5YJIU7OUkWxFlR2KafE+8uWNNjbeUsG550ayD86Aoiozsfb8W3H077XxyoGZLXMnvGEefqmVW7fUUNUislZmAfh7g8n6/Flo2Jq+oigRl3SNLG6/9Hxx4dQ4nS1uVm0orMf5QrG8PS8ARdevw7F1Ef0qiqDsnp1s+d4fU/ve21+1dCdzbRE1b93Btm+8m72/+hjbvvFuivetBMBoStY+C53Cmvdv4eb/uC8jYQIYrDru/bddGZ9XdIIb/nIDHz559wzCBKj/2P0U7d9c0DUYassZOpL7dtFzZnE1A25936oFnb+l1pxXex0pJQN7bDx2IHOP8WdPD9DdnEC/gACTwzk3c0BvUjDtMtPSkV+p6GLjxy+/7ZoRJixbmgVBCEH1u24m2D1CfGphkUnX3rXUf+AOzA3l2QcvMix1xaz+kzuvPDZVOHD9nwfxtY0Q6J2k5s2CiutrMZfnppreuL+CbR9YyclvzSylq9lVwhu/fh3lm9K3gBCqStOfvgOpJfAcPJfXNQhVRcazd2+8jPFDfZTfuDi+SICd99VgceoJTuWfZ7nn5nJiObb6BYhssDFgS/DkgewVai+3DBNuLmVdt554nuWdAJG+IAaLSjSoUdJkQatVONk6wvixa6ugtHZLKRt3VlzTNSxbmgXCuW0lW77zCaoevLHgOYpv3sSaz/3ONSHM+WBfXUHlG9bS+OY1ORPmZdz2+S1YSpOWssGm4+5/3sF7XrgtI2FehtCprPiLhyh70968Xi/SO4SlKnuZ52WMH1rckliLw8CKHflbPcU1ZszduRcEJCoMPDo4xpMv5u7GaCi2F0SYkNy2Nzfbqb61iKcH+3n6UC/jk/kVHCwF6lYsvKXzQrFsaS4AOoeF+g/eSdwTYOw3J/I+/xqnmy0JTC4Dt//9Vg5/pZW3//xGXA25k65QVeo+ch/GiiL6H34SErl94UtWmwkO5faF9nVMEB7zY1qEiP1l7HhjDeeenb/eU1EEtRucbNhfwaZbK9lyRxWaP073kwMc+vtzeHtmpmwVr3HgbvUiBfh22nn8wjCT7vxIy6bTUYhu/YrbDDjqogwdi7Bha4gnjypo4YUmhS0MtSscWKx6/vKrN13TdcAyaS4KGv/oPkKXxvC3JK0A1W6m+qGbGPnVIaJjmZ3m1jWFV668lrHpXY2svKMKa3nuFuBlCCGoeOuNmBrK6f67n6AFMhOFobYcaSlKK0A8H8Zf6aX2TRvyXlsm1K2fa/04yoxsvLmSpm1FbNhfQf2mIkzWWV83s44N717J6rc0cObhdl767CnMZSZu+ptttE34+e33Wzjf5sb3UmE+xB+93MHaVUVsHzYTTdOjaDaEgK3vldz0pc9gsPqIhy2oxiBlt97Lpx5cRyxNzu5S4M63reKDf7aDZx7p4vjBQd77x9u44c56pORK/f+1xHLK0SIhHgjT9aVfIFSFho/cg6HUQdtnf8zkSxcovXUz4789Neec9V/9EDKuEe6fINw/TqBziLVfeO81r3h4rSA6PkX/vz3O5Itn0z4/4a8m5svfl1h91xq2ffGNC13eFQy1e/mLfU9yw0ONrL+pgurVDuo2OlHzrP0eOzuJs9GGwa7nTbt+xIXTC6ufv4w3XddIxaDAm6UySNULPtTy79hq58q7HXryfv76g+vx5qhilQtUVfCRz4aoahjjO19YSyIB67fV8Omv34LJ/Orac/mkHC2T5hIi1D+OjGlYmirwHG7Fc7T9CkFGhudGfO0bG1j7pfeh6Jc3AFfDd6aLvn95hHDfdAoUqsJwfzGFZNXrnSbe8NzvIxZJ0ELTEsQjCYyWxfm/eT0Rrqv6Jok8m8jNh4/sWoP75fnLgG/92wl2/PE/ZHzeP1XMB274A/q7F16WabHp+NLPTrDlxqcBEDgxKO9GLz6R981mMbCcp/kaQNTtQ++woHMkhTRcu9fg2r3myvOREQ/+i/2oJj06pxWd04KxwoVQlmNzs2HfvIL1X/tDuj7/IzwvtwBgaqyB/sICE7GpMFMtI7g2VWUfnANUVUG1LN7/7cLpsUUlzH231lFsNOMmM2k23WJk+yf+z7zz2JxuPvyZdv73e2oWtJ6Kh1Y2AAAQLUlEQVQb7rby+599jMb1JwH4v+2deZTU1ZXHP99aeqNpmgZEQARUFOmYgBJGEjWKoogicdSIxhG3YcYtUcdEHM3E5HjmRFARjxHGATxqTIgiGUnmuOAkxjkzimBABdcWFVCjOKKy9nrnj99rqG66q6va7q5e7uecOvV+9y39br3qW7/37u/dF9NoCuL/RDJ2wldqt6Nwo9nGbFu/Eauro2j4QBK9C5stlz+wlPyB6T3Kzl6UiDc4vreGQqD13txPV25sM6PZ1nywMfswe40ZOKQXk88cyZkXjKJ87H689eRHVPy+6WdUi/olmbzwbhRr2VAfM3UZxSXXsT3LUHYDBhVw5qXbmTT9CQYNfytIi4lpKMWJZUjZn1CaKzIympJKgYVEZ5MbcAmwC1gAFAA1wBVm9qKkHwHfT2n/cGCAmX0maTIwD4gDC83sF6H9EcASoAz4C/B3ZlYlKR94kOh89f8DzjWz90KdG4FLgVrgB2b21Ff5INqKt376MPv/7bcoOWJ4rrvS7di1Ye8/vb78hERRATU7W+fV/fSFjRxyWfvHD2gNBYXZP5SezItx3MnDGH/sECZMHMqoI/o3WBvfkeaojsn3vkTx4Pcy/DtVTJiUZMVjmRvNid8tYtaCuygqbvhjkIydQEH8x13KYELmd5rzgCfN7GxFGhYBjwA/M7MnJE0BZgPHm9kcYA6ApKnAtcFgxoFfApOAzcAqScvN7DXgNmCumS2RtIDIGM4P71vN7BBJ00O5cyWNBqYD5cBg4BlJh5pZbp+LAIb946lsuPM/KBy2H2XfPjzX3ek2WG0txV8fQc3W7dRV1RArSHLgEQdgSvLur7J/3Gvr2g+p3VVNvDD3kcAbc+zJw/i3ZVPZtbOanTuq2bWjhm1fVrLt80q2frabHduq2PZFFVWVtQwZ1ptjTx7GCaeOoKS0+Z1ko6YOafJcofJz4hx8xm+y6t+3p2xgxWOZx5u95o779zGYcY2nMH4rUtvEAehIWjSakkqA44CLAMysCqiSZEB9aJk+QFNnnp4H1I/IeKDCzDaEdpcA0yS9DkwEzg/lHgBuITKa00IaYClwj6Kfz2nAEjOrBN6VVBHafz4TpduT/ieNoXj0gcR7dZ3I710BxeOMuP57TeZtenw9Nduyi3xTV13LF69/QtmRX219rj3oXZLPxNPaNvxZYd88igfuazTfeNzYf951jP3BnRk/Nzx+0tMkkhdRk8Fx0Id+vRcFvRo+dhfjQIoS87ukwYTMdgQdBGwB7pe0RtJCSb2Aa4A5kjYBtwM3plaSVARMBh4LoiFA6naGzUHWD/jczGoayRvUCflfhPLNtdUpKBhcRrJPdjtpnNaT3791n3VeWXbR7rs6lzxzPJPnfKOBrLaqjo/XDsxqo0VJ2RbOuyr9+ufpFxTw0MpnWfy/P99zlxljBIXxu+iV/DUx9c26/52FTIxmAjgSmG9mY4EdwCzgcqKp91DgWmBRo3pTgf8xs/rwM00Ni6WRt7bOHiTNlLRa0uotW3K7Z9ZpP/JKm3e4NceAbw2jeHjX/cdtDUVl+Rxz3SimzN171k6fA/M5Ye7srNua+fPbmX5F02uvpf3y+OEd8xhR/lIDuVGJ1AtR0mS9rkImRnMzsNnMVobrpURGdAawLMgeJZoepzKdvVPz+naGplwfQDSl/xQolZRoJG9QJ+T3IYoB1lxbDTCz+8xsnJmNGzCgbY6IcDof8VaEexs2vXMc0pULJlw9kiHfLEMxOG3R0xSUNrXjqBhofr1Xgitvm83Mm2tIJGP0HZDPpLOKuPynVcz7wwoKe+0byd/4kJ01f8/26tOpqXuBmrpVRCtsXYsWv21m9ldJmyQdZmZvAicCrxFN278DPEu0JrknAq2kPiHvgpSmVgEjg6f8AyKjer6ZmaQ/AWcTedBnAI+HOsvD9fMh/4+h/HLg15LuJHIEjQRebN1H4HR1LMtnGouG9mG/Y3N7ZEIukcT3fnU0qx54lCHHPNk4l2TsHAri11NZu4CqusVp2oELZ81jyoXD6Dfo/Yyn+HVsZEfN+Ygh9E4+13pFckSmP9FXAw8Hz/kG4GIiwzYv3AHuBmamlD8TeNrM9kSkNbMaSVcBTxE9crTYzOpPproBWCLpVmANe6f6i4CHgqPnMyJDi5mtl/QIkfGuAa7sDJ5zJzeUjh5I5ZbtVG+rpGZHFbU70z8OM+zcMagT7GHOJWUH13H0zQ0fZo/rmxTGf0I89jUACuJXU133O4z08Ur7D25d5KhEbAywE+ha6/++jdLpdlRvr2TH+1vZ9dGX7PoockJ8+cYnVH9ZSc3OKo66cyp5fbJfB+1OmBnbq0+mjneIcSAFiVkkdMo+cQ+qah+n1taTiI0lrrFsr56K0XZBiJOx0ylK3N1m7bUW30bp9GiSxfmUlu9PaXknPbu+EyAJqQ8FsRvIi11EtI9kX/Li04ie8NsjadN+JGPntGl7HYEbTcfpgZjV0iuxiMj9kA1tt8c+oZNI6Jg2a6+jcKPpOD2QaINedgbTrBKjbcLVQTGFiVu7ZBhED6njOE5GSPn0Tj5LXuz7LRfeQxEJnUJcqceYiKLEXcTUuY55yRS/03QcJ2NiGkgiNoGquoczKDuSovidxGPlmBlVdYuoqltKXIeS0PHt39l2wo2m4zhZUWctH5lclFhAQichRZNZSeTHLyM/fhlm1iWn5fW40XQcJ2Oqav/A7tr02y6TsXNJxk5uNr8rG0xwo+k4ToZU1t7H7tpfpC0T02gK47d2UI9ygzuCHMdpkTrbxO7au1osl9RJwTPffXGj6ThOi1TX/ZlMjheJqfvv6Xej6ThOixgtn1sU1wQSsaM6oDe5xY2m4zgtYvbXFssUxm8ipgM6oDe5xY2m4zgtYqSPHBXjoB4xNQc3mo7jZETzRjPGIRQn/xOpZ0SOcqPpOE4GNG80i5Lzm42S1B1xo+k4TgbUNCMvJMagDu1JrnGj6ThOWupsM9V1zzSZl9B4ooNnew5uNB3HaYFCoGofqehHYeL2ju9OjnGj6ThOWmLqR0KT95Hnxc4mpn456FFucaPpOE6LFCb+lZhGNZAl42fnqDe5xY2m4zgtElMpRfG5QO89MrOWdwl1R9xoOo6TEfHYYZQk/5u4xhLXBGLqmQfXeWg4x3EyRiqhOPlYrruRUzK605RUKmmppDckvS5pgqQxkl6QtFbSaknjU8ofH+TrJf05RT5Z0puSKiTNSpGPkLRS0tuSfispL8jzw3VFyB+eUufGIH9T0ilt8WE4juO0RKbT83nAk2Y2CvgG8DowG/iZmY0B/iVcI6kUuBc4w8zKgXOCPA78EjgVGA2cJ2l0aP82YK6ZjQS2ApcG+aXAVjM7BJgbyhHqTQfKgcnAveruQfwcx+kUtGg0JZUAxwGLAMysysw+BwwoCcX6AB+G9PnAMjPbGMp/EuTjgQoz22BmVcASYJqi2PcTgaWh3APAd0N6Wrgm5J8Yyk8DlphZpZm9C1SE9h3HcdqVTO40DwK2APdLWiNpoaRewDXAHEmbgNuBG0P5Q4G+kp6V9JKkC4N8CLAppd3NQdYP+NzMahrJG9QJ+V+E8s215TiO065kYjQTwJHAfDMbC+wAZgGXA9ea2VDgWsKdaCh/FHAacArwE0mHAk2dpmRp5LSyzh4kzQzrrau3bNnSjHqO4ziZk4nR3AxsNrOV4XopkRGdASwLskfZOz3eTLT+ucPMPgWeI1oH3QwMTWn3AKIp/adAqaREIzmpdUJ+H+CzNG01wMzuM7NxZjZuwIABGajqOI6TnhaNpkUhmzdJOiyITgReIzJS3wmyicDbIf04cKykhKKd/H9D5DhaBYwMnvI8IkfOcjMz4E9A/faCGaENgOXhmpD/x1B+OTA9eNdHACOBF7PW3nEcJ0syfU7zauDhYOw2ABcTGbZ54Q5wNzATwMxel/Qk8ApQByw0s3UAkq4CngLiwGIzWx/avwFYIulWYA17p/qLgIckVRDdYU4Pf2O9pEeIjHcNcKWZ1bbyM3Acx8kYRTdu3Z9x48bZ6tWrc90Nx3E6IZJeMrNxGZXtKUZT0hbg/XZouj/RumxPxfV3/buD/sPMLCPHR48xmu2FpNWZ/kJ1R1x/17+n6e8BOxzHcbLAjabjOE4WuNH86tyX6w7kGNe/Z9Pj9Pc1TcdxnCzwO03HcZws6FFGU9JiSZ9IWtdE3vWSTFL/FFm3iguajf6S+kj6vaSXg/4Xp5SdEXR8W9KMFPlRkl4N+twdIlIhqUzSilB+haS+Qa5QrkLSK5KO7Gj9Jd0i6YMwzmslTUnJa3JsutP4N6e/pEmKAu68Gt4nptRps3Fu7rvUqTGzHvMiCnF3JLCukXwo0U6l94H+QVZKtOPowHC9X3iPA+8QRX/KA14GRoe8R4DpIb0AuDykrwAWhPR04LchPTrUzwdGhHbjnUT/fwZuC+kBRDuy8oAyol1hZUDfkO4byr0ITCAKqPIEcGqQzwZmhfSslHanhHICjgZWdvT4A7cA1zdRtsmx6W7jn0b/scDgkP4a8EFKXpuMc7rvUmd+9ag7TTN7juifvzFzgR/TMFJSt4sLmqX+BvQO/SwO9WqIIletMLPPzGwrsAKYLGkQUGJmz1v0H/EgTevf+HN50CJeIArcMqiN1N2HNPo3RXNj0x3Hv6mya8ysPgjOeqAg3DG35Tg3+V36imq2Oz3KaDaFpDOIfkVfbpTVI+KCptH/HuBwosAsrwI/NLM6mu/zkJBuLAcYaGYfAYT3/YI85/oHrgrTxsX1U0rS69ltxj/QlP6pnAWsMbNK2nacO4v+WdGjjaaiKEw3ER3X0ZhOExe0vWhB/1OAtcBgYAxwj6Io/m2pS071D8wHDibS8SPgjiDPVs8uN/6B5vQHQFI50TEz/1AvaqKN1o5zZ9A/a3q00ST6sowAXpb0HlFczr9I2p9OFBe0HUmn/8VEyxNmZhXAu8CoNH3eHNKN5QAf10+7w3v9Ukeu9cfMPjaz2nAX/e80jAvbnJ7dZfzT6Y+kA4DfARea2TtB3JbjnHP9W0WuF1U7+gUMp5EjJCXvPfY6Qg4H/ovojrMIWEe0IJ4gWrAewV5HQHmo8ygNHQFXhPSVNHQEPBLS5TR0BGygHR0BWeo/H7glpAcCHxAFZygjMqB9w+tdoCyUW0W00F/vIJgS5HNo6CCYHdKn0dBB8GJHjz8wKCV9LdEaY7Nj093GP43+paFvZzXRRpuMc7rvUmd+5bwDHaos/IZoClJN9Ct3aaP8PUYjXP+IyIO+DrgmRT4FeIvI23lTivwgIs9iRfgHyg/ygnBdEfIPSqlzU2jnTYIXsjPoTzQtf5poPXMdcEFKuUuCLhXAxSnycaHsO0RrovWbJ/oR/QC9Hd7rjayITih9J/ydcR2tP/BQ+NuvEAW3TjUiTY5Ndxr/5vQHbiY62mZtyqv+CZI2G+fmvkud+eU7ghzHcbKgp69pOo7jZIUbTcdxnCxwo+k4jpMFbjQdx3GywI2m4zhOFrjRdBzHyQI3mo7jOFngRtNxHCcL/h8gQ3cUL6rwIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "district.plot('median_price', cmap='plasma')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the more helpful & flexible clusterers in `scikit-learn` is the ward agglomerative clusterer, which aims to build good clusters from pairwise aggregations of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "district_priceclusters = skc.AgglomerativeClustering(n_clusters=3).fit(district[['median_price']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f272bc7fac8>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "district.assign(labels=district_priceclusters.labels_).plot('labels', cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that these are all broken up around the map; while we've found three clusters with similar prices, there is no guarantee that these solutions will be connected spatially, and indeed we often find that this is the case. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As to measure the quality of clusters in the map, we can use the `silhouette score`, which is a standardized distance between each observation's data and the \"decision boundary,\" or the nearest cluster that we *didn't* put the observation into. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouettes = skm.silhouette_samples(district[['median_price']], district_priceclusters.labels_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f27388f54e0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "district.assign(strength = silhouettes).plot('strength', cmap='plasma', vmin=-.5,vmax=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `mapclassify` package has some algorithms to do clustering as well, such as the Fisher Jenks optimal classification method, which finds solutions to k-means-style problems fast & efficiently:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import mapclassify as mc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "fisher_jenks =mc.Fisher_Jenks(district.median_price, k=3).yb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f27300c2ef0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "district.assign(labels=fisher_jenks).plot('labels', cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes, this outperforms the Agglomerative solutions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouettes_fj = skm.silhouette_samples(district[['median_price']], fisher_jenks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f273001d940>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "district.assign(strength = silhouettes_fj).plot('strength', cmap='plasma', vmin=-.5,vmax=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(silhouettes, silhouettes_fj)\n",
    "plt.xlabel(\"agglomerative\", fontsize=20)\n",
    "plt.title(\"silhouette scores\")\n",
    "plt.ylabel(\"fisher jenks\", fontsize=20)\n",
    "sns.despine()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5618749510784694"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "skm.silhouette_score(district[['median_price']], fisher_jenks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5343313272578376"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "skm.silhouette_score(district[['median_price']], district_priceclusters.labels_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another implementation in `scikit` is in their `KMeans` classifier. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Contiguous clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finding contiguous clusters is much harder computationally.\n",
    "\n",
    "But, we can adapt the agglomerative clusterer in scikit-learn to find contiguous clusters in our data using our connectivity graphs from `sds1-geography_as_feature.ipynb`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "rook_graph = lp.weights.Rook.from_dataframe(district)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "the Agglomerative clustering configuration takes an argument, `connectivity`, which is used to constrain how individual observations are grouped together as the solution is being built. By passing the sparse matrix encoding our adjacency graph to this option, only adjcent observations will be grouped as the solution is built. This rule, only ever grouping neighboring observations, is sufficient to ensure that the resulting clusters are connected. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "district_priceclusters_sp = skc.AgglomerativeClustering(n_clusters=3,\n",
    "                                                         connectivity=rook_graph.sparse).fit(district[['median_price']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f272bed3860>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "district.assign(labels=district_priceclusters_sp.labels_).plot('labels', cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "see?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probabilistic clustering\n",
    "\n",
    "Sometimes, we'd rather treat clustering assignments as \"predictions\" in a probabilistic framework. Often, this is done either through latent dirichlet allocation or, more simply, through Gaussian mixture models. \n",
    "\n",
    "Scikit's gaussian mixture methods are also fast and simple to use, so Ill show them below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn.mixture as skmix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since Gaussian mixutre models are probabilistic, they are sensitive to the random seeds with which we populate the problem. Therefore, I'll pass today's date as a number to make sure the solutions are the same each time (but you don't have to use this seed!)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "gmm = skmix.GaussianMixture(n_components=3, random_state=7052018).fit(district[['median_price']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Gaussian mixture models have a slightly different interface; to get the labels for the assignments on your trained classifier, you have to use the `predict` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "predicted = gmm.predict(district[['median_price']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Further, if you want the probabilities around the assignments, you can use the `predict_proba` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "strengths = gmm.predict_proba(district[['median_price']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives the full matrix of probabilities (over all clusters)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.32248724e-01, 3.92263093e-02, 4.28524967e-01],\n",
       "       [1.56665236e-03, 3.32706150e-01, 6.65727198e-01],\n",
       "       [3.23917287e-02, 1.00564739e-01, 8.67043532e-01],\n",
       "       [3.34902688e-22, 1.00000000e+00, 1.21678893e-10],\n",
       "       [8.90592520e-01, 5.10683791e-02, 5.83391013e-02]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strengths[0:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, just to focus on the probability of assignment to the \"most likely\" cluster, we can take the maximum probability over the rows of the `strengths` matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "strength = strengths.max(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.53224872, 0.6657272 , 0.86704353, 1.        , 0.89059252])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strength[0:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "now, we can make another map showing the assignments and the probabilities with which those assignments are made, kind of like our silhouette scores above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f,ax = plt.subplots(1,2,figsize=(10,4))\n",
    "district.assign(labels=predicted).plot('labels',ax=ax[0],cmap='rainbow')\n",
    "district.assign(strength=strength).plot('strength', cmap='plasma', ax=ax[1], vmin=.5, vmax=1)\n",
    "for i in range(2):\n",
    "    ax[i].axis('off')\n",
    "    ax[i].set_title([\"label\",\"strength\"][i], fontsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "but, these assignment probabilities are *not* the same as the silhouette scores, and often have quite a different structure from the silhouette scores. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouettes_gmm = skm.silhouette_samples(district[['median_price']], predicted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f272bd6d208>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(strength, silhouettes_gmm)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:scipygeo18]",
   "language": "python",
   "name": "conda-env-scipygeo18-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
